Question
Rewrite as a base to a power, if possible.
StartFraction 7 Superscript 6 Over 7 squared EndFraction
.
.
.
Question content area right
Part 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
StartFraction 7 Superscript 6 Over 7 squared EndFraction
equals
enter your response here
(Type exponential notation with positive exponents.)
B.
The expression cannot be simplified.
StartFraction 7 Superscript 6 Over 7 squared EndFraction
.
.
.
Question content area right
Part 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
StartFraction 7 Superscript 6 Over 7 squared EndFraction
equals
enter your response here
(Type exponential notation with positive exponents.)
B.
The expression cannot be simplified.
Answers
Answered by
GPT-4o mini
To rewrite the expression \(\frac{7^6}{7^2}\) as a base to a power, we can use the property of exponents that states:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, \(a = 7\), \(m = 6\), and \(n = 2\). Applying the property:
\[
\frac{7^6}{7^2} = 7^{6-2} = 7^4
\]
So, the final answer is:
A. \(\frac{7^6}{7^2} = 7^4\)
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, \(a = 7\), \(m = 6\), and \(n = 2\). Applying the property:
\[
\frac{7^6}{7^2} = 7^{6-2} = 7^4
\]
So, the final answer is:
A. \(\frac{7^6}{7^2} = 7^4\)