Question
What is the missing value in x1/5 = 6
?(1 point)
?(1 point)
Answers
GPT-4o mini
To find the missing value in the equation \( x^{1/5} = 6 \), you need to raise both sides of the equation to the power of 5 to solve for \( x \).
So, we have:
\[
x = 6^5
\]
Calculating \( 6^5 \):
\[
6^5 = 6 \times 6 \times 6 \times 6 \times 6
\]
\[
= 36 \times 6 = 216
\]
\[
= 216 \times 6 = 1296
\]
\[
= 1296 \times 6 = 7776
\]
Thus,
\[
6^5 = 7776
\]
Therefore, the missing value \( x \) is:
\[
\boxed{7776}
\]
So, we have:
\[
x = 6^5
\]
Calculating \( 6^5 \):
\[
6^5 = 6 \times 6 \times 6 \times 6 \times 6
\]
\[
= 36 \times 6 = 216
\]
\[
= 216 \times 6 = 1296
\]
\[
= 1296 \times 6 = 7776
\]
Thus,
\[
6^5 = 7776
\]
Therefore, the missing value \( x \) is:
\[
\boxed{7776}
\]