Question

$8 {}^{255} = 32 {}^{x}$
answer​

Answer 1

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Answer 2

Exponent & Powers:

x is = 153

Step-by-step explanation:

Exponent and Power definition:  

"Power is a multiplication function of the same number, whereas the exponent is a variable that represents the amount of power the number is increased too. "

In the question Given that,

$8^{255}=32^x$

it can be written as $(2^3)^{255}=(2^5)^x$

$2^{3 \times 255}=2^{5x}$     $[\therefore (a^b)^c=a^{b \times c}]$

$2^{765}=2^{5x}$         $[a^x=a^y \Rightarrow x=y]$

As the base is the same. So, compare the power.

$5x=765$

Divide by 5 both sides,

$x=153$

Learn more:

• What is exponent and power: https://brainly.in/question/2100211
• how to find value of x:  https://brainly.in/question/2401247