Question

Use the Product Rule of Exponents to simplify the expression 1310⋅134
.(1 point)
Responses

1314
13 superscript 14 baseline

1340
13 superscript 40 baseline

16914
169 superscript 14 baseline

16940

Answer 1

To simplify the expression \( 13^{10} \cdot 13^4 \) using the Product Rule of Exponents, we add the exponents together. The Product Rule states that \( a^m \cdot a^n = a^{m+n} \).

Applying this to the expression:

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

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

The correct response is:

**\( 13^{14} \)**.