How do you simplify #(24a^6b^5) ^ (1/3)#?

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Answer 1 · 2016-01-15T15:39:59

#2a^2b(3b^2)^(1/3)#

Given: #(24a^6b^5)^(1/3)#

Write as #24^(1/3)xxa^(6xx1/3)xxb^(5xx1/3)#

#root(3)(24)xxa^(6/3)xxroot(3)(b^(5)#

#root(3)(3xx2^3) xx a^2 xxroot(3)(b^3xxb^2)#

#2root(3)(3)xx a^2 xxbroot(3)(b^2)#

#2a^2b( root(3)(3)xxroot(3)(b^2)) #

#2a^2b(3b^2)^(1/3)#