Question

simplify each expression (2a^4)^-3, a ≠ 0

Answer 1

Answer:

1/(8a^12)

Step-by-step explanation:

(2a^4)^-3

Rewriting

2^-3  * a^4^-3

We know  x^y^z = x^(y*z)

2^-3 * a^(4*-3)

2^-3 * a^-12

We know x^-y = 1/a^y

1/2^3  * 1/a^12

1/8 * 1/a^12

1/(8a^12)