How do you simplify #(5/3)^ -3#?

2 Answers
P dilip_k
Mar 28, 2016

#=(3/5)^3=27/125#

Hope W.
Mar 28, 2016

#27/125#

Explanation:

#(5/3)^(-3)#
First, distribute the -3 in the exponent to the numerator and the denominator.
#((5^(-3))/(3^(-3)))#
Because both of the exponents are negative the numerator and denominator have to switch.
#((3^(3))/(5^(3)))#
Simplify:
#(27/125)#

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