Question

Simplify the expression. Assume that all variables represent positive numbers. Write your answer without using negative exponents.
(125u^6v^6)^1/3

Answer 1

first write each of them in terms cubic powers.
125 = 5^3
u^6=(u^2)^3
v^6=(v^2)^3
so you can write 125u^6v^6 as (5u^2v^2)^3
so finally
(125u^6v^6)^1/3
= ((5u^2v^2)^3)^1/3
= 5u^2v^2

Answer 2

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