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Simplify 8^-7 x 8^5 please show work

1 Answer

4 votes

When you are multiplying exponents with the same base, you can add the exponents. This is represented as:


x^a \cdot x^b = x^((a +b))


In our case we are multiplying exponents with the same base 8 and exponents -7 and 5. The sum of -7 and 5 is -2, so our answer is
\boxed{8^(-2)}.

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User Thirstycrow
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