Question

simplify. express your answer using a single exponent.
$(u^{-7})^{-11}$

Explanation:

Step1: Recall exponent rule

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

Step2: Apply the rule

For \((u^{-7})^{-11}\), we multiply \(-7\) and \(-11\). So, \(-7\times(-11)=77\). Thus, \((u^{-7})^{-11}=u^{77}\).

Answer:

\(u^{77}\)