What is the missing value in x^1/5=6

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Remaining Attempts : 3

1 answer

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:

\[ x = 7776 \]

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