Evaluate (64/125)^(-4/3)

Math
(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.
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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.
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Cancel the common factor.
53(43)6443
Rewrite the expression.
546443
546443
Raise 5 to the power of 4.
6256443
6256443
Simplify the denominator.
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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.
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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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