Use the Product Rule Exponents to simplify the expression 7^5\:\:\cdot 7^2

1 answer

To simplify the expression, we can use the product rule for exponents. According to the product rule, if we have the same base raised to different exponents, we can multiply the base and add the exponents.

Here, the base is 7, and we have 7 raised to the power of 5 and 7 raised to the power of 2.

7^5 * 7^2 = 7^(5 + 2) = 7^7

Therefore, the simplified expression is 7^7.