Question

Use the Product Rule of Exponents to simplify the expression 13^10 ⋅ 13^4
A: 13^14
B: 13^40
C: 169^40
D: 169^14

Answer 1

To simplify the expression 13^10 ⋅ 13^4 using the Product Rule of Exponents, we add the exponents. The Product Rule states that if we have the same base, we add the exponents when multiplying.

So, 13^10 ⋅ 13^4 = 13^(10+4) = 13^14

Therefore, the simplified expression is 13^14.

The correct answer is A: 13^14.