To simplify the expression, we use the product rule of exponents, which states that when you multiply two powers with the same base, you add their exponents.
In this case, we have 7 to the power of 5 multiplied by 7 to the power of 2. We can apply the product rule of exponents to simplify this expression:
7^5 * 7^2
To multiply, we add the exponents:
7^(5+2)
7^7
So, 7 to the power of 5 times 7 to the power of 2 simplifies to 7 to the power of 7.
Use the Product Rule of Exponents to simplify the expression
7 to the power of 5 times 7 to the power of 2
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