Question

Take $6$ less than a number $n$. If you raise this result to the $5th$ power, it is equal to $32$. Calculate the value of $n$.

• A. $2$
• B. $2.07$
• C. $4$ only
• D. $4$ or $8$
• E. $8$ only

Answer 1

The correct option is E $8$ only

Given ${(n-6)}^5=32=2^5$
Since powers are equal, we can equate their bases, we get
$\Rightarrow n-6=2$

$\Rightarrow n=8$