Answer:
[tex]\frac{a^{2} }{b}[/tex]
Step-by-step explanation:
Given expression:
( a⁶ b⁻³)[tex]^{\frac{1}{3} }[/tex]
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)[tex]^{\frac{1}{3} }[/tex] = a⁶[tex]^{\frac{1}{3} }[/tex] x b⁻³ [tex]^{\frac{1}{3} }[/tex]
= a² x b⁻¹
Therefore ( a⁶ b⁻³)[tex]^{\frac{1}{3} }[/tex] = [tex]\frac{a^{2} }{b}[/tex]
