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

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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 hours ago

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:

\[ 7^7 \]