# Evaluate (64/125)^(-4/3) (64125)-43
Move the negative in front of the fraction.
(64125)-43
Change the sign of the exponent by rewriting the base as its reciprocal.
(12564)43
Apply the product rule to 12564.
125436443
Simplify the numerator.
Rewrite 125 as 53.
(53)436443
Apply the power rule and multiply exponents, (am)n=amn.
53(43)6443
Cancel the common factor of 3.
Cancel the common factor.
53(43)6443
Rewrite the expression.
546443
546443
Raise 5 to the power of 4.
6256443
6256443
Simplify the denominator.
Rewrite 64 as 43.
625(43)43
Apply the power rule and multiply exponents, (am)n=amn.
62543(43)
Cancel the common factor of 3.
Cancel the common factor.
62543(43)
Rewrite the expression.
62544
62544
Raise 4 to the power of 4.
625256
625256
The result can be shown in multiple forms.
Exact Form:
625256
Decimal Form:
2.44140625
Mixed Number Form:
2113256
Evaluate (64/125)^(-4/3)

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