Question

Determine the solution for the

Answer 1

x=3

Explanation:

Not sure how to explain

Answer 2

Hey there! :)

Answer:

x = 3.

Explanation:

Given:

`(8x-8)^{(3)/(2) } = 64`

Rule of fractions in exponents:

Numerator- power

Denominator- root

Take the 2/3 root of both sides:

`(8x-8) = 64x^{(2)/(3) }`

Simplify
`64x^{(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.