Represent the following expression as a power of the number a where a does not equal zero.

Question

(a to the power of three)To the power of -4

Answer 1

To simplify the expression \( (a^3)^{-4} \), you can apply the power of a power rule, which states that \((x^m)^n = x^{m \cdot n}\).

Using that rule:

\[ (a^3)^{-4} = a^{3 \cdot (-4)} = a^{-12} \]

So, the expression \( (a^3)^{-4} \) can be represented as \( a^{-12} \).