Use the Product Rule of Exponents to simplify the expression 13^10⋅13^4

Question

.(1 point)
Responses

1340
13 superscript 40 baseline

16914
169 superscript 14 baseline

1314
13 superscript 14 baseline

16940
169 superscript 40 baseline
Remaining Attempts : 3
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Answer 1

To simplify the expression ${13}^{10}\cdot {13}^4$ using the Product Rule of Exponents, you add the exponents of the same base:

$${13}^{10}\cdot {13}^4={13}^{10+4}={13}^{14}.$$

Thus, the simplified expression is ${13}^{14}$.

The correct response from the options provided is:

1314
13 superscript 14 baseline.