Divide. Express your answer in simplest radical form.

Question

³√(-8a3b) / ³√(27b10)

 

 

This is so confusing to me, please help.

Answer 1

(-8a^3b)^(1/3) is the numerator

-8 is -2 cubed

take out -2 and a from the radicand leaving b inside

(-2a)*(³√b) is the numerator

(27b^10)^(1/3) is the denominator

27 is 3 cubed and b^10=b^9*b

take out 3 and b^3 from the radicand leaving b inside

(3*3*3=27 and b³*b³*b³=b⁹)

3b³*(³√b) is the denominator

simplify by cancelling out the two (³√b)'s

-2a/3b³ is the simplest form