use the product rule of exponents to simplify the expression 5^10 x 5^5

Answer 1

To simplify the expression 5^10 x 5^5 using the product rule of exponents, we add the exponents when multiplying the same base.

The product rule states that a^m * a^n = a^(m+n).
Therefore, 5^10 x 5^5 becomes 5^(10+5).

Adding the exponents gives us 5^15 as the simplified expression.