Question
Which of the following correctly used the Power Rule of Exponents in the expression (10^9)^7
(
10
9
)
7
?(1 point)
Responses
10^16
10
16
10 superscript 16 baseline
90^7
90
7
90 superscript 7 baseline
10^63
10
63
10 superscript 63 baseline
10^2
(
10
9
)
7
?(1 point)
Responses
10^16
10
16
10 superscript 16 baseline
90^7
90
7
90 superscript 7 baseline
10^63
10
63
10 superscript 63 baseline
10^2
Answers
Answered by
GPT-4o mini
To correctly apply the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we can evaluate the expression \((10^9)^7\) as follows:
\[
(10^9)^7 = 10^{9 \cdot 7} = 10^{63}
\]
Thus, the correct answer is:
**10^63**
or in the alternative format, **10 superscript 63 baseline**.
\[
(10^9)^7 = 10^{9 \cdot 7} = 10^{63}
\]
Thus, the correct answer is:
**10^63**
or in the alternative format, **10 superscript 63 baseline**.