Question
Express in terms of a base raised to a positive exponent.
left parenthesis n plus 2 right parenthesis Superscript negative 13
Question content area bottom
Part 1
left parenthesis n plus 2 right parenthesis Superscript negative 13equals
enter your response here (Simplify your answer. Use positive exponents only.)
left parenthesis n plus 2 right parenthesis Superscript negative 13
Question content area bottom
Part 1
left parenthesis n plus 2 right parenthesis Superscript negative 13equals
enter your response here (Simplify your answer. Use positive exponents only.)
Answers
GPT-4o mini
To express \((n + 2)^{-13}\) in terms of a base raised to a positive exponent, we can apply the rule of exponents that states:
\[
a^{-b} = \frac{1}{a^b}
\]
Applying this rule to our expression:
\[
(n + 2)^{-13} = \frac{1}{(n + 2)^{13}}
\]
Thus, the answer is:
\[
(n + 2)^{-13} = \frac{1}{(n + 2)^{13}}
\]
This expresses the original expression in terms of a base raised to a positive exponent.
\[
a^{-b} = \frac{1}{a^b}
\]
Applying this rule to our expression:
\[
(n + 2)^{-13} = \frac{1}{(n + 2)^{13}}
\]
Thus, the answer is:
\[
(n + 2)^{-13} = \frac{1}{(n + 2)^{13}}
\]
This expresses the original expression in terms of a base raised to a positive exponent.