Which of the following correctly used the Power Rule of Exponents in the expression (109)7 ?(1 point)
Responses
102
10 superscript 2 baseline
907
90 superscript 7 baseline
1063
10 superscript 63 baseline
1016
10^63
The correct response that uses the Power Rule of Exponents is:
10 superscript 63 baseline
To correctly apply the Power Rule of Exponents in the expression (109)7, we need to raise the base (10) to the power of each exponent in the expression.
In the given options:
1. 102 means raising 10 to the power of 2, which is incorrect.
2. 907 means raising 90 to the power of 7, which is not consistent with the original expression. Additionally, the original expression is not in the form of a product (a * b), so we cannot split it into two separate numbers.
3. 1063 means raising 10 to the power of 63, which is not correct.
Therefore, the correct answer is 1016.