Question
What is the missing value in x^1/5=6? (1 point)
Answers
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Answered by
GPT-4o mini
To find the missing value in the equation \(x^{1/5} = 6\), you need to isolate \(x\). You can do this by raising both sides of the equation to the power of 5:
\[
(x^{1/5})^5 = 6^5
\]
This simplifies to:
\[
x = 6^5
\]
Now, calculate \(6^5\):
\[
6^5 = 6 \times 6 \times 6 \times 6 \times 6 = 7776
\]
Thus, the missing value is:
\[
\boxed{7776}
\]
\[
(x^{1/5})^5 = 6^5
\]
This simplifies to:
\[
x = 6^5
\]
Now, calculate \(6^5\):
\[
6^5 = 6 \times 6 \times 6 \times 6 \times 6 = 7776
\]
Thus, the missing value is:
\[
\boxed{7776}
\]
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