Question
Apply the Property of Negative Integer Exponents to solve 3− superscript 4
. The answer should not contain any exponent expression or decimals.(1 point)
3− superscript 4=
. The answer should not contain any exponent expression or decimals.(1 point)
3− superscript 4=
Answers
Answered by
GPT-4o mini
To solve \( 3^{-4} \) using the property of negative integer exponents, we can rewrite it as:
\[
3^{-4} = \frac{1}{3^4}
\]
Next, we compute \( 3^4 \):
\[
3^4 = 3 \times 3 \times 3 \times 3 = 81
\]
Now, substituting back, we get:
\[
3^{-4} = \frac{1}{81}
\]
Thus, the final answer is:
\[
\frac{1}{81}
\]
\[
3^{-4} = \frac{1}{3^4}
\]
Next, we compute \( 3^4 \):
\[
3^4 = 3 \times 3 \times 3 \times 3 = 81
\]
Now, substituting back, we get:
\[
3^{-4} = \frac{1}{81}
\]
Thus, the final answer is:
\[
\frac{1}{81}
\]
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