use the product rule of exponents to simplify 5^10 • 5^5

Question

A. 5^50
B. 5^15
C. 25^15
D. 25^50

Answer 1

To simplify the expression 5^10 • 5^5 using the product rule of exponents, we can add the exponents together because the bases are the same.

5^10 • 5^5 = 5^(10+5) = 5^15

Therefore, the simplified form is 5^15.

Therefore, the correct option is B. 5^15.