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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