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Determine the solution for the

Determine the solution for the-example-1

2 Answers

5 votes

Answer:

x=3

Explanation:

Not sure how to explain

User Shenee
by
8.1k points
1 vote

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.

User Shlomie
by
8.5k points

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