Question

5. Diketahui bilangan berpangkat seperti berikut.
a⁶ x b⁶ x c⁶
----------------
a‐² x b‐³ x c‐⁴

Bentuk sederhana dari bilangan berpangkat di atas adalah ...
a. a⁴b³c²
b. a⁸b⁹c¹⁰
c. a¹²b³c²
d. a⁸b⁶c¹²​

Answer 1

5

[tex] = \frac{ {a}^{6} {b}^{6} {c}^{6} }{ {a}^{ - 2} {b}^{ - 3} {c}^{ - 4} } [/tex]

[tex] = {a}^{6 - ( - 2)} {b}^{6 - ( - 3)} {c}^{6 - ( - 4)} [/tex]

[tex] = {a}^{6 +2 } {b}^{6 + 3} {c}^{6 + 4} [/tex]

[tex] = {a}^{8} {b}^{9} {c}^{10} [/tex]

B

Answer 2

Jawaban dengan penjelasan:

Opsi B.

[tex] \frac{a {}^{6} b {}^{6} c {}^{6} }{a {}^{ - 2}b {}^{ - 3}c {}^{ - 4} } \\ = {a {}^{6 - ( - 2)}b {}^{6 - ( - 3)} c {}^{6 - ( - 4)} }{} \\ = a {}^{6 + 2} b {}^{6 + 3} c {}^{6 + 4} \\ = a {}^{8}b {}^{9} c {}^{10} [/tex]