CONTOH SOAL PILGAN EKSPONEN
1.Bentuk sederhana dari
= ...
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhRz-DrhWIX4ZsbcRIOIY6kEFTkmJ8G88kiEwIWh31OFqpXK5nBMbCcks5gioyf3StHIrbOsYYNj9sb6BReFNKvd9YvG6gotuQEelyrHrQiGpSHfHsTvr-8IISSMAAjmkLha7_fnktENvY/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjZ7fKP8aTRRByJ_E8LTjOSgQOuZlTYAwimIvu4p_CJvS2kIdhhVUz6Jh4dz6VPLQZBCEZthG-rNvDxoV8EQ33lyvOWjJzIlQioI5xLIxyY7_AiFiQTVTruQr7KezSphuXsvvxfxaUsQhk/s1600/a.png)
Jawaban: E
2. Bentuk sederhana dari
adalah ...
a. 22 - 24√3
b. 34 - 22√3
c. 22 + 34√6
d. 34 + 22√6
e. 146 + 22√6
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyx8TZ_rB0X4dwxR1eazVyWHQcJoO17zyBzKgY9YgojMPrdrsMzVlRdVxQbp6VN91LgzHUt8N49t-VeHTVJlbZ_GeA2OjMEPU7eW2rD2gl76YiqxgiZxlzBYJ1f72FpV4YpFr_xLYr-Cw/s1600/a.png)
= 30.3 - 20√6+42√6-28.2
= 90 + 22√6 – 56
= 34 + 22√6
Jawaban: D
3. Bentuk sederhana dari
adalah ...
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyLCc-d-JBt7xx8cEd0ohM3MQzo3HKVt5ljyTkrBTKqGECJGe1UujfUlybzf66Cyd83MyQcw6hjIcQ0FsiOj279i0E5cxHK7JuniKUMI9iwYNXVidLLJhh6_ekM2GcvWIKRulIiuitx88/s1600/a.png)
Jawaban: B
4. Bentuk sederhana dari
= ...
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3OlliCOhPPHZ28jKVaW_dvnGZSEX_kMrnzby8pqfW7tz1kbKi09iLzzvAzv83BPYn36GcbVoN2eZY0saPvQjwRd7FqE2OdOdHxpfNGH6YTXXOTG1PsX9qAE_VIsVQReuIfWKG-91A-NA/s1600/a.png)
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjRMH8bX2_nL1T89u_lPlw3sdTZA735ECK-0lgLKQQPIYNYKzvg4Tauez6Hi1UPIg-e5o9vZc1__11tzbkZkp0nrMdJp9UvN4g_X6spJQCM2nEvXzjmtfyfoHcKv7L2rwpLUhZhnOXJS_g/s1600/a.png)
Jawaban: E
5. Jika
=⋯
a. f (2)
b. f (4)
c. f (16)
d. f ((x+3)/(x-1))
e. f (2x + 2)
pembahasan:
karena
=
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGwcaJI6m_ywW0HTNKMPxmIqOnRr9EnofT6cCi7UUkzTSaO5Ad8RKy0sAHsmDGiz-QoP6sEaoyCEMGVfo9asWupCg3sTaCdozU7PIzEwBn3HwATS9yRzV6zUZH9WrRUXFS73eDiCAuR8g/s1600/a.png)
Karena
dengan x = 4 atau f(x) = f(4)
Jawaban: B
6. jika diketahui x = 1/3, y = 1/5, dan z = 2 maka nilai dari
adalah ...
a. 32
b. 60
c. 100
d. 320
e. 640
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-NrDpZru2bpkvjWVouTnp83lVSqxGSBUDfQMalGVwB7jsNKRHo_jUPIYg3Kw_2dUCgDni2_afnBq98t8n8nogFFI9l5z7DMoBD6hau4vNbiVIOFJa7MpUxkM5rt3dR72DSMN1a-tQWIo/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqHFu7wR4Rk01WNYiCnXof5x9LnY45cZnQyaqrxsxNEhMK8KntBi-3sVKYV61ML4p3S_42VJt6SrukX4BOKY7lXojxqr0JIKFJCpzHq7YEXShEYDTqvtLctxtKatZLPC_KzlHr8JWbySs/s1600/a.png)
Jawaban: B
7. Diketahui a = 4, b = 2, dan c = ½. Nilai
= ...
a. ½
b. ¼
c. 1/8
d. 1/16
e. 1/32
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgazrMdjtlzO0WLdo0cphWaRi0xNz-tSSj5vg65gM5hy57_MlZlZCzeDEpZ6R_Q_lwO9fKsUwFaMcTvlb1cbtUCu7Pc3CUa5PUD8XlK6Ip8HmVlwdp6ae26nt0T8qBJtbepmcUhERQWmsg/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi0KOo_YheJsfTen3Uy9J0IxaLeVcSg7tKBYocX2glrLI9GRalLzYqt-F3ZKXb4Np-ta7GunFojohQ_xQiToutlH_UiImt6h-Tf2pQs0ZmNxFaupr-XjPWJ_hCfs3ZGV1iF5Akzd11sniE/s1600/a.png)
Jawaban: C
8. Jika
, maka nilai x + y = ...
a. 21
b. 20
c. 18
d. 16
e. 14
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioivdXKeC3Isu83yQrDVExn3NkDdOAYBVbK1wXxOzrhdmWAvtgHX3KoLkhyR9eCGBxj8LjxR_t-p1WzxZaPISYlaIpCYA8nQW8dPnqrSUAK9vkrfVzwjeuYSYI4vVeGxknegylS6mB63g/s1600/a.png)
x-y=4 ...(ii)
Eliminasikan persamaan (i) dan (ii)
subtitusikan y = 8 dalam persamaan x – y = 4
x – 8 = 4
x = 12
sehingga nilai x + y = 12 + 8 = 20
jawaban: B
9. Dalam bentuk pangkat rasional
= ...
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjk6CH6zUqfQtq6gMRv4rpfFOyDDRSTkx2G34ENyB6SQ2Nhjl9fElVvZXV9XAjMbS-Ru3L3dKUj6rgygVfNe2NOkBil2npgvgILtA73IxjjcatdS9JaCd6BwzXrsFNgJpPW_5tqlrv8Eyc/s1600/a.png)
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiX1Jvh8LKaOH_aWnmHpdMfuTB-XwRLimcDVbegRRVKll0vakKXNo6d4syPpKU-bh5hgJAqIYxEIKXHTyfCWo2ICJ-EQW4tith6ePtiO39OkQUa5AuSza65MEKeu762DVP7lWOunF-CtN4/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh3fdak7GIW8rldriJ-cuwiq2apgKaoHnvRM2i_5EjsbqFTnhMOazy3-32YYLGv76GB4TntdHTAo1R37LSAIPgHuIYPJhLu6u5dHqEbafD1j_s_bY5cQQOXPJhC6S36eooXo_GRGvofSsM/s1600/a.png)
Jawaban: C
10. Jika x > 0 dan x ≠ 1 memenuhi
, p bilangan rasional, maka p = ...
a. -1/2
b. -1/3
c. 1/3
d. ½
e. 2/3
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitsn3clEovGsJO5MTbmAI6qBHrkQPvcikbhJD4EfEVSNJSCicMSS4wCOJuxqeqW7RFWts0WDy75Lpq5pqOK8WBIypf2jE2NXz8UawyNKkZ4OXZvwrAjAXrfjysIXs7vSKQxCxrjlD6BNY/s320/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhtA2iua4iGwH0w5Aa1GOhPhSLbGTqg4yjBKNuJZbB1I28zBDKtGx9rH48l52VZmZmh-uFLPkv2srNPYhbQiEGHI9VnOmceYZ5s0rL9ikc_V1D0anQZDYPokNlSeQn3xjixhswXdn86nE/s1600/a.png)
jawaban: A
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhRz-DrhWIX4ZsbcRIOIY6kEFTkmJ8G88kiEwIWh31OFqpXK5nBMbCcks5gioyf3StHIrbOsYYNj9sb6BReFNKvd9YvG6gotuQEelyrHrQiGpSHfHsTvr-8IISSMAAjmkLha7_fnktENvY/s1600/a.png)
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhRz-DrhWIX4ZsbcRIOIY6kEFTkmJ8G88kiEwIWh31OFqpXK5nBMbCcks5gioyf3StHIrbOsYYNj9sb6BReFNKvd9YvG6gotuQEelyrHrQiGpSHfHsTvr-8IISSMAAjmkLha7_fnktENvY/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjZ7fKP8aTRRByJ_E8LTjOSgQOuZlTYAwimIvu4p_CJvS2kIdhhVUz6Jh4dz6VPLQZBCEZthG-rNvDxoV8EQ33lyvOWjJzIlQioI5xLIxyY7_AiFiQTVTruQr7KezSphuXsvvxfxaUsQhk/s1600/a.png)
Jawaban: E
2. Bentuk sederhana dari
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyx8TZ_rB0X4dwxR1eazVyWHQcJoO17zyBzKgY9YgojMPrdrsMzVlRdVxQbp6VN91LgzHUt8N49t-VeHTVJlbZ_GeA2OjMEPU7eW2rD2gl76YiqxgiZxlzBYJ1f72FpV4YpFr_xLYr-Cw/s1600/a.png)
a. 22 - 24√3
b. 34 - 22√3
c. 22 + 34√6
d. 34 + 22√6
e. 146 + 22√6
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgyx8TZ_rB0X4dwxR1eazVyWHQcJoO17zyBzKgY9YgojMPrdrsMzVlRdVxQbp6VN91LgzHUt8N49t-VeHTVJlbZ_GeA2OjMEPU7eW2rD2gl76YiqxgiZxlzBYJ1f72FpV4YpFr_xLYr-Cw/s1600/a.png)
= 30.3 - 20√6+42√6-28.2
= 90 + 22√6 – 56
= 34 + 22√6
Jawaban: D
3. Bentuk sederhana dari
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbwzP5Y21JW3SYwpQ53cBQoOIp4Am5pg4Y9RuWtuXilu9XbDyqsV95-Ms-BOS69DIZkCM1bczWZMkE0JL1IcXkXVCE-n2OspV-5SWocPAGkO9eiRm_9jeTbfr6fQami9ErZa4ptpwlC_Q/s1600/a.png)
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyLCc-d-JBt7xx8cEd0ohM3MQzo3HKVt5ljyTkrBTKqGECJGe1UujfUlybzf66Cyd83MyQcw6hjIcQ0FsiOj279i0E5cxHK7JuniKUMI9iwYNXVidLLJhh6_ekM2GcvWIKRulIiuitx88/s1600/a.png)
Jawaban: B
4. Bentuk sederhana dari
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1bvaB1bPfPsUKhuGeUbvqmTY7xRDE3JXDdb6Wv5339vZmdaLe-SEsfO1mfiF5eiadbLU04Pf5Jk_TiiPxwNXYShdnrCF3q9ntQXW3KAp6yPuATp1fW9WU2L00ORBHX6ztngRYjwz0TbM/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3OlliCOhPPHZ28jKVaW_dvnGZSEX_kMrnzby8pqfW7tz1kbKi09iLzzvAzv83BPYn36GcbVoN2eZY0saPvQjwRd7FqE2OdOdHxpfNGH6YTXXOTG1PsX9qAE_VIsVQReuIfWKG-91A-NA/s1600/a.png)
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjRMH8bX2_nL1T89u_lPlw3sdTZA735ECK-0lgLKQQPIYNYKzvg4Tauez6Hi1UPIg-e5o9vZc1__11tzbkZkp0nrMdJp9UvN4g_X6spJQCM2nEvXzjmtfyfoHcKv7L2rwpLUhZhnOXJS_g/s1600/a.png)
Jawaban: E
5. Jika
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCYlYKThHD7Ps3x-Lhf7C2M1ybE9CdfqpTH8gRmz_4ZYjTSfYm96qVxNqjidaCiVqAT7e1QAaX786DYeDgO4qwrZv9i_LlPmGqyjIvOPI30Oc4M0-duomrMnXV4N6sJ9RBPDkFunnMbIA/s1600/a.png)
a. f (2)
b. f (4)
c. f (16)
d. f ((x+3)/(x-1))
e. f (2x + 2)
pembahasan:
karena
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCYlYKThHD7Ps3x-Lhf7C2M1ybE9CdfqpTH8gRmz_4ZYjTSfYm96qVxNqjidaCiVqAT7e1QAaX786DYeDgO4qwrZv9i_LlPmGqyjIvOPI30Oc4M0-duomrMnXV4N6sJ9RBPDkFunnMbIA/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGwcaJI6m_ywW0HTNKMPxmIqOnRr9EnofT6cCi7UUkzTSaO5Ad8RKy0sAHsmDGiz-QoP6sEaoyCEMGVfo9asWupCg3sTaCdozU7PIzEwBn3HwATS9yRzV6zUZH9WrRUXFS73eDiCAuR8g/s1600/a.png)
Karena
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhlcLIhlXUJ1qKxNwj7XbbdUr0LHK_u8Qzd-BZcq4200s2QlfWxZjkRIeMon48N90sfnXgYz31z0xiQsSTlUU_jGPe0a7-Syg8Fer2U2oFatCDge9S6Kfu6sWoRNuBk9m0heamL1L1XA7s/s1600/a.png)
Jawaban: B
6. jika diketahui x = 1/3, y = 1/5, dan z = 2 maka nilai dari
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-NrDpZru2bpkvjWVouTnp83lVSqxGSBUDfQMalGVwB7jsNKRHo_jUPIYg3Kw_2dUCgDni2_afnBq98t8n8nogFFI9l5z7DMoBD6hau4vNbiVIOFJa7MpUxkM5rt3dR72DSMN1a-tQWIo/s1600/a.png)
a. 32
b. 60
c. 100
d. 320
e. 640
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh-NrDpZru2bpkvjWVouTnp83lVSqxGSBUDfQMalGVwB7jsNKRHo_jUPIYg3Kw_2dUCgDni2_afnBq98t8n8nogFFI9l5z7DMoBD6hau4vNbiVIOFJa7MpUxkM5rt3dR72DSMN1a-tQWIo/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqHFu7wR4Rk01WNYiCnXof5x9LnY45cZnQyaqrxsxNEhMK8KntBi-3sVKYV61ML4p3S_42VJt6SrukX4BOKY7lXojxqr0JIKFJCpzHq7YEXShEYDTqvtLctxtKatZLPC_KzlHr8JWbySs/s1600/a.png)
Jawaban: B
7. Diketahui a = 4, b = 2, dan c = ½. Nilai
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgazrMdjtlzO0WLdo0cphWaRi0xNz-tSSj5vg65gM5hy57_MlZlZCzeDEpZ6R_Q_lwO9fKsUwFaMcTvlb1cbtUCu7Pc3CUa5PUD8XlK6Ip8HmVlwdp6ae26nt0T8qBJtbepmcUhERQWmsg/s1600/a.png)
a. ½
b. ¼
c. 1/8
d. 1/16
e. 1/32
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgazrMdjtlzO0WLdo0cphWaRi0xNz-tSSj5vg65gM5hy57_MlZlZCzeDEpZ6R_Q_lwO9fKsUwFaMcTvlb1cbtUCu7Pc3CUa5PUD8XlK6Ip8HmVlwdp6ae26nt0T8qBJtbepmcUhERQWmsg/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi0KOo_YheJsfTen3Uy9J0IxaLeVcSg7tKBYocX2glrLI9GRalLzYqt-F3ZKXb4Np-ta7GunFojohQ_xQiToutlH_UiImt6h-Tf2pQs0ZmNxFaupr-XjPWJ_hCfs3ZGV1iF5Akzd11sniE/s1600/a.png)
Jawaban: C
8. Jika
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjjY0DpYJYfkH6Nnk4OxwGpTvJVuDNknGiI0xjfn7dui3NwZg7FcJ-LBimMujGRr13K8crJtUuNC6Lztt2yNiIx9vgeR_7V5hoTh0ebqoKBADSEiQgnRJ_HCxVM6FdHZaFUUQDTP0r2gYY/s1600/a.png)
a. 21
b. 20
c. 18
d. 16
e. 14
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioivdXKeC3Isu83yQrDVExn3NkDdOAYBVbK1wXxOzrhdmWAvtgHX3KoLkhyR9eCGBxj8LjxR_t-p1WzxZaPISYlaIpCYA8nQW8dPnqrSUAK9vkrfVzwjeuYSYI4vVeGxknegylS6mB63g/s1600/a.png)
x-y=4 ...(ii)
Eliminasikan persamaan (i) dan (ii)
subtitusikan y = 8 dalam persamaan x – y = 4
x – 8 = 4
x = 12
sehingga nilai x + y = 12 + 8 = 20
jawaban: B
9. Dalam bentuk pangkat rasional
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiX1Jvh8LKaOH_aWnmHpdMfuTB-XwRLimcDVbegRRVKll0vakKXNo6d4syPpKU-bh5hgJAqIYxEIKXHTyfCWo2ICJ-EQW4tith6ePtiO39OkQUa5AuSza65MEKeu762DVP7lWOunF-CtN4/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjk6CH6zUqfQtq6gMRv4rpfFOyDDRSTkx2G34ENyB6SQ2Nhjl9fElVvZXV9XAjMbS-Ru3L3dKUj6rgygVfNe2NOkBil2npgvgILtA73IxjjcatdS9JaCd6BwzXrsFNgJpPW_5tqlrv8Eyc/s1600/a.png)
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiX1Jvh8LKaOH_aWnmHpdMfuTB-XwRLimcDVbegRRVKll0vakKXNo6d4syPpKU-bh5hgJAqIYxEIKXHTyfCWo2ICJ-EQW4tith6ePtiO39OkQUa5AuSza65MEKeu762DVP7lWOunF-CtN4/s1600/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh3fdak7GIW8rldriJ-cuwiq2apgKaoHnvRM2i_5EjsbqFTnhMOazy3-32YYLGv76GB4TntdHTAo1R37LSAIPgHuIYPJhLu6u5dHqEbafD1j_s_bY5cQQOXPJhC6S36eooXo_GRGvofSsM/s1600/a.png)
Jawaban: C
10. Jika x > 0 dan x ≠ 1 memenuhi
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPeUcSZINhHdfq3lWI1OkgThB2JDg2e8iVR3wBd4P0PfLXAKZOlJKfgkOQ8WDkwJ7jGvL938uCSbwLPXuN8vNiG_p_fmU9ZRb1cOk6PlLGqwRy9uGJ6wpG0Ht5FQdOiUByU_-uzX5YTYI/s1600/a.png)
a. -1/2
b. -1/3
c. 1/3
d. ½
e. 2/3
Pembahasan:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitsn3clEovGsJO5MTbmAI6qBHrkQPvcikbhJD4EfEVSNJSCicMSS4wCOJuxqeqW7RFWts0WDy75Lpq5pqOK8WBIypf2jE2NXz8UawyNKkZ4OXZvwrAjAXrfjysIXs7vSKQxCxrjlD6BNY/s320/a.png)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhtA2iua4iGwH0w5Aa1GOhPhSLbGTqg4yjBKNuJZbB1I28zBDKtGx9rH48l52VZmZmh-uFLPkv2srNPYhbQiEGHI9VnOmceYZ5s0rL9ikc_V1D0anQZDYPokNlSeQn3xjixhswXdn86nE/s1600/a.png)
jawaban: A
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