Simplify. Write the expression using only positive exponents.$8^{-2}\cdot a^7$8−2·a7​The simplified expression is

Question

Simplify. Write the expression using only positive exponents.$8^{-2}\cdot a^7$8−2·a7​The simplified expression is
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Solution 1

To simplify the expression $8^{-2}\cdot a^7$, we need to apply the rule that any number to the power of -n is equal to 1 divided by that number to the power of n.

Step 1: Rewrite $8^{-2}$ as $\frac{1}{8^2}$.

Step 2: Calculate $8^2$ which is 64.

Step 3: Substitute $8^2$ with 64 in the expression, Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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