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
16940
169 superscript 40 baseline
16914
16914
To simplify the expression using the Product Rule of Exponents, we add the exponents of the same base. In this case, the base is 13 and we have 10 and 4 as the exponents.
So, 13^10 * 13^4 is equal to 13^(10+4).
This simplifies to 13^14.
Therefore, the simplified expression is 13^(14).
To simplify the expression 1310⋅134 using the Product Rule of Exponents, you need to add the exponents when multiplying numbers with the same base.
In this case, the base is 13, and the exponents are 10 and 4. According to the Product Rule of Exponents, when multiplying two numbers with the same base, you add the exponents. Therefore, the simplified expression becomes:
13^10⋅13^4 = 13^(10+4) = 13^14.
Therefore, the simplified expression is 13 superscript 14 baseline.