Question

simplify. express your answer using a single exponent.
$(w^{-5})^{12}$

Explanation:

Step1: Recall exponent rule

When raising a power to a power, multiply the exponents: \((a^m)^n = a^{m\times n}\).

Step2: Apply the rule

For \((w^{-5})^{12}\), multiply \(-5\) and \(12\): \(-5\times12 = -60\). So \((w^{-5})^{12}=w^{-60}\).

Answer:

\(w^{-60}\)