Mathematics: 20% of 40?my friend and i got different answers!

20% of 40?my friend and i got different answers!

Ответ:

alyssaboosiefkes

24.03.2021

$\text{A. }x=3$

Step-by-step explanation:

Recall the exponent property $a^{b^c}=a^{(b\cdot c)}$ . Therefore, we can square both sides of the equation to get rid of the fraction in the exponent:

$((8x-8)^{\frac{3}{2}})^2=64^2,\\(8x-8)^{\frac{3}{2}\cdot2}=64^2,\\(8x-8)^3=4096$

Take the cube root of both sides:

8x-8=16

Add 8 to both sides:

8x=24

Divide both sides by 8 to isolate :

$x=\frac{24}{8}=\boxed{3}$

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