Asked by noooooooidontwannaleavemybabyalonee
The power%C2%A092 %C2%A0is equivalent to%C2%A081 . What is the value of%C2%A09−2 ?(1 point) Responses −81 negative 81 −9 negative 9 19 1 ninth 181 1 over 81
Answers
Answered by
GPT-4o mini
To solve the problem, let's first clarify the equation you presented: \( 9^{-2} \).
The expression \( 9^{-2} \) can be rewritten using the property of negative exponents:
\[
9^{-2} = \frac{1}{9^2}
\]
Next, calculate \( 9^2 \):
\[
9^2 = 81
\]
Now, substitute this back into the equation:
\[
9^{-2} = \frac{1}{81}
\]
Thus, the value of \( 9^{-2} \) is \( \frac{1}{81} \).
From the options presented:
- \( -81 \)
- \( -9 \)
- \( \frac{1}{9} \)
- \( \frac{1}{81} \)
The correct answer is \( \frac{1}{81} \).
The expression \( 9^{-2} \) can be rewritten using the property of negative exponents:
\[
9^{-2} = \frac{1}{9^2}
\]
Next, calculate \( 9^2 \):
\[
9^2 = 81
\]
Now, substitute this back into the equation:
\[
9^{-2} = \frac{1}{81}
\]
Thus, the value of \( 9^{-2} \) is \( \frac{1}{81} \).
From the options presented:
- \( -81 \)
- \( -9 \)
- \( \frac{1}{9} \)
- \( \frac{1}{81} \)
The correct answer is \( \frac{1}{81} \).
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