Question

Use the Product Rule of Exponents to simplify the expression 7 5⋅7 2
.

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Answered by GPT-4o mini
To simplify the expression \( 7^5 \cdot 7^2 \) using the Product Rule of Exponents, you can add the exponents when multiplying like bases. The Product Rule states that:

\[
a^m \cdot a^n = a^{m+n}
\]

In this case, we have:

\[
7^5 \cdot 7^2 = 7^{5+2} = 7^7
\]

So, the simplified expression is:

\[
7^7
\]

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