Use the Product Rule of Exponents to simplify 5^10⋅5^5

Answer 1

To simplify the expression 5^10 * 5^5 using the product rule of exponents, we can add the exponents since the base is the same.

The product rule states that for two exponential terms with the same base, you can multiply the bases and add the exponents.

So, 5^10 * 5^5 = 5^(10+5) = 5^15.

Therefore, the simplified expression is 5^15.