How do you simplify #(z ^ { \frac { 1} { 3} } \cdot x ^ { - 2} ) ^ { \frac { 5} { 3} }#?

1 Answer
Victor
Nov 27, 2017

#=z^(5/9)x^(-10/3)# or #=(z^(5/9))/(x^(10/3))#

Explanation:

Follow the power exponent rules : #(b^n)^m = b^(n⋅m)#

#(z^(1/3)*x^(-2))^(5/3)#

# = z^((1/3)(5/3))*x^((-2)(5/3))#

# = z^(5/9)*x^(-10/3) #

#=z^(5/9)x^(-10/3)# or #=(z^(5/9))/(x^(10/3))#

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