Use the Product Rule of Exponents to simplify the expression 13^10⋅13^4 .(1 point)
Responses
169^14
169 superscript 14 baseline
169^40
169 superscript 40 baseline
13^14
13 superscript 14 baseline
13^40
13 superscript 40 baseline
thats wrong
I apologize for the mistake. The correct answer is 13^14.
To simplify the expression 13^10⋅13^4 using the Product Rule of Exponents, we add the exponents together because the base (13) is the same.
Adding the exponents, we get 10 + 4 = 14.
So, the simplified expression is 13^14.
To simplify the expression 13^10⋅13^4 using the Product Rule of Exponents, we need to add the exponents of the same base (which in this case is 13).
The Product Rule of Exponents states that for any base number 'a' raised to the power of 'm' and multiplied by 'a' raised to the power of 'n', the result is 'a' raised to the power of 'm + n'.
So, in this case, we have 13^10⋅13^4. Since the base is the same (which is 13) we can add the exponents:
10 + 4 = 14
Therefore, 13^10⋅13^4 simplifies to 13^14.
The correct answer is: 13^14 or 13 superscript 14.