Question

Which expression is equivalent to (a^6 b^−3)^1/3?

Answer 1

Answer:

$\frac{a^{2} }{b}$

Step-by-step explanation:

Given expression:

           ( a⁶ b⁻³)$^{\frac{1}{3} }$

Find an expression equivalent to this;

 To solve this problem, we have to expand the parentheses by using one of rule of exponents.

          (a x b)ⁿ   = aⁿ x bⁿ

 So;

      ( a⁶ b⁻³)$^{\frac{1}{3} }$  =  a⁶$^{\frac{1}{3} }$ x b⁻³ $^{\frac{1}{3} }$

                      = a² x b⁻¹

  Therefore ( a⁶ b⁻³)$^{\frac{1}{3} }$  = $\frac{a^{2} }{b}$