Question

Use the Product Rule of Exponents to simplify the expression 13^10⋅13^4.(1 point)
Responses

169^40
169^40

169^14
169^14

13^14
13^14

13^40

Answer 1

To simplify the expression \( 13^{10} \cdot 13^{4} \) using the Product Rule of Exponents, we add the exponents:

\[
13^{10} \cdot 13^{4} = 13^{10 + 4} = 13^{14}
\]

So the simplified expression is \( 13^{14} \).

The correct response is:

**13^14**