Simplify. Write the expression using only positive exponents.$8^{-2}\cdot a^7$8−2·a7The simplified expression is

Question

Simplify. Write the expression using only positive exponents.

8^{-2} \cdot a^7

The simplified expression is

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Solution

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, so we get $\frac{1}{64}\cdot a^7$ .

So, the simplified expression is $\frac{1}{64}a^7$ .

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

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