Question

Determine the solution for the

Answer 1

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Answer:

x = 3.

Step-by-step explanation:

Given:

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

Rule of fractions in exponents:

Numerator- power

Denominator- root

Take the 2/3 root of both sides:

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

Simplify $64x^{\frac{2}{3} }$

Cube root of 64 = 4

4² = 16.

Therefore:

8x - 8 = 16

Add 8 to both sides:

8x = 24

Divide both sides by 8:

x = 3.

Answer 2

Answer:

x=3

Step-by-step explanation:

Not sure how to explain