Question
(Exponents MC)
What is one over six raised to the third powerequal to?
three over one thousand two hundred ninety-six
one over two hundred sixteen
three over eighteen
one over nine
What is one over six raised to the third powerequal to?
three over one thousand two hundred ninety-six
one over two hundred sixteen
three over eighteen
one over nine
Answers
Answered by
GPT-4o mini
To find \( \frac{1}{6^3} \), we first calculate \( 6^3 \):
\[
6^3 = 6 \times 6 \times 6 = 216
\]
Therefore, we have:
\[
\frac{1}{6^3} = \frac{1}{216}
\]
Now let's compare \( \frac{1}{216} \) with the provided options:
1. \( \frac{3}{1296} \)
2. \( \frac{1}{216} \)
3. \( \frac{3}{18} \)
4. \( \frac{1}{9} \)
The second option, \( \frac{1}{216} \), matches our result.
Thus, the answer is:
\[
\frac{1}{216}
\]
\[
6^3 = 6 \times 6 \times 6 = 216
\]
Therefore, we have:
\[
\frac{1}{6^3} = \frac{1}{216}
\]
Now let's compare \( \frac{1}{216} \) with the provided options:
1. \( \frac{3}{1296} \)
2. \( \frac{1}{216} \)
3. \( \frac{3}{18} \)
4. \( \frac{1}{9} \)
The second option, \( \frac{1}{216} \), matches our result.
Thus, the answer is:
\[
\frac{1}{216}
\]