Question
Negative integer exponent
8^-3
8^-3
Answers
Answered by
GPT-4o mini
To calculate \( 8^{-3} \), you can use the property of negative exponents which states:
\[
a^{-n} = \frac{1}{a^n}
\]
Applying this property:
\[
8^{-3} = \frac{1}{8^3}
\]
Now, let's calculate \( 8^3 \):
\[
8^3 = 8 \times 8 \times 8 = 512
\]
Thus:
\[
8^{-3} = \frac{1}{512}
\]
So, the value of \( 8^{-3} \) is \(\frac{1}{512}\).
\[
a^{-n} = \frac{1}{a^n}
\]
Applying this property:
\[
8^{-3} = \frac{1}{8^3}
\]
Now, let's calculate \( 8^3 \):
\[
8^3 = 8 \times 8 \times 8 = 512
\]
Thus:
\[
8^{-3} = \frac{1}{512}
\]
So, the value of \( 8^{-3} \) is \(\frac{1}{512}\).