Use the product rule of exponents to simplify the expression seven superscript 5×7, super script two

Answer 1

To simplify the expression \( 7^5 \times 7^2 \) using the product rule of exponents, you add the exponents because the bases are the same. The product rule states that:

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

In your case:

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

So, the simplified expression is \( 7^7 \).