Question

${8}^{255} = {(32)}^{x}$
answer with explanation

Answer 1

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Answer 2

Here is Your Answer

${8}^{255}$
In this 8 can be written as 2 cubed which means
$(2 ^{3} )^{255} \\ = 2 ^{765}$
Now, in the next part,
$32 ^{x}$
32 can also be written as 2 to the 5th power.
$( {2}^{5} ) ^{x} \\ = 2 ^{5x}$
Since the bases are equal, we can now equate up the equation for the exponents
$765 = 5x \\ x = \frac{765}{5} \\ x = 153$