To solve the equation \( x^{1/5} = 6 \), we need to raise both sides of the equation to the power of 5 to eliminate the exponent.
So, we have:
\[ x^{1/5} = 6 \]
Raise both sides to the power of 5:
\[ (x^{1/5})^5 = 6^5 \]
This simplifies to:
\[ x = 6^5 \]
Now, calculate \( 6^5 \):
\[ 6^5 = 6 \times 6 \times 6 \times 6 \times 6 \] \[ 6^2 = 36 \] \[ 6^3 = 216 \] \[ 6^4 = 1296 \] \[ 6^5 = 7776 \]
Thus, the missing value is:
\[ x = 7776 \]