The solution of the equation 
Further explanation:
Given:
The exponent equation is
Calculation:
The exponents are the powers on the numbers.
The rules of exponents are as follows,
1.
2. 
3. 
4. ![\boxed{{x^{\dfrac{m}{n}}} = \sqrt[n]{{{x^m}}}}](https://tex.z-dn.net/?f=%5Cboxed%7B%7Bx%5E%7B%5Cdfrac%7Bm%7D%7Bn%7D%7D%7D%20%3D%20%5Csqrt%5Bn%5D%7B%7B%7Bx%5Em%7D%7D%7D%7D)
Solve the equation
to obtain the value of x.
![\begin{aligned}{\left({8x - 8} \right)^{\frac{3}{2}}}&= 64\\{\left({{{\left( {8x - 8} \right)}^{\frac{3}{2}}}} \right)^{\frac{2}{3}}}&= {\left( {64} \right)^{\frac{2}{3}}}\\8x - 8&= \sqrt[3]{{{{64}^2}}}\\8x - 8&=\sqrt[3]{{4096}}\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%7B%5Cleft%28%7B8x%20-%208%7D%20%5Cright%29%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%7D%26%3D%2064%5C%5C%7B%5Cleft%28%7B%7B%7B%5Cleft%28%20%7B8x%20-%208%7D%20%5Cright%29%7D%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%7D%7D%20%5Cright%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%26%3D%20%7B%5Cleft%28%20%7B64%7D%20%5Cright%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%5C%5C8x%20-%208%26%3D%20%5Csqrt%5B3%5D%7B%7B%7B%7B64%7D%5E2%7D%7D%7D%5C%5C8x%20-%208%26%3D%5Csqrt%5B3%5D%7B%7B4096%7D%7D%5C%5C%5Cend%7Baligned%7D)
Further solve the above equation.

Hence, the solution of the equation 
Learn more:
1. Learn more about unit conversion brainly.com/question/4837736
2. Learn more about non-collinear brainly.com/question/4165000
3. Learn more aboutbinomial and trinomialhttps://brainly.com/question/1394854
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Exponents
Keywords: Solution,
, exponents, power, equation, power rule, exponent rule.