Question

simplify.
\\(\left(w^{-2}\
ight)^3\\)
write your answer without using negative exponents.

Explanation:

Step1: Apply power of a power rule

When raising a power to a power, we multiply the exponents. So for \((w^{-2})^{3}\), we multiply \(-2\) and \(3\).
\((w^{-2})^{3}=w^{-2\times3}=w^{-6}\)

Step2: Convert negative exponent to positive

A negative exponent \(a^{-n}=\frac{1}{a^{n}}\), so \(w^{-6}=\frac{1}{w^{6}}\)

Answer:

\(\frac{1}{w^{6}}\)