Question

What is the missing value in x^1/5=6
?(1 point)

Answer 1

To solve the equation \( x^{1/5} = 6 \), we need to isolate \( x \).

To do this, we raise both sides of the equation to the power of 5:

\[
(x^{1/5})^5 = 6^5
\]

This simplifies to:

\[
x = 6^5
\]

Now, we need to calculate \( 6^5 \):

\[
6^5 = 6 \times 6 \times 6 \times 6 \times 6
\]

Calculating step by step:

\[
6^2 = 36
\]
\[
6^3 = 6 \times 36 = 216
\]
\[
6^4 = 6 \times 216 = 1296
\]
\[
6^5 = 6 \times 1296 = 7776
\]

Thus, the missing value is:

\[
\boxed{7776}
\]