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simplify. express your answer using a single exponent. $(h^{-6})^7$

Question

simplify. express your answer using a single exponent.
$(h^{-6})^7$

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 \((h^{-6})^7\), we multiply the exponents \(-6\) and \(7\): \(-6\times7 = -42\). So \((h^{-6})^7 = h^{-42}\).

Answer:

\(h^{-42}\)