Evaluate (125)^(2/3)(81)^(-3/4)

Math
(125)23(81)-34
Simplify the expression.
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Rewrite 125 as 53.
(53)23(81)-34
Apply the power rule and multiply exponents, (am)n=amn.
53(23)(81)-34
53(23)(81)-34
Cancel the common factor of 3.
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Cancel the common factor.
53(23)(81)-34
Rewrite the expression.
52(81)-34
52(81)-34
Raise 5 to the power of 2.
25(81)-34
Rewrite the expression using the negative exponent rule b-n=1bn.
2518134
Simplify the denominator.
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Rewrite 81 as 34.
251(34)34
Apply the power rule and multiply exponents, (am)n=amn.
25134(34)
Cancel the common factor of 4.
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Cancel the common factor.
25134(34)
Rewrite the expression.
25133
25133
Raise 3 to the power of 3.
25(127)
25(127)
Combine 25 and 127.
2527
The result can be shown in multiple forms.
Exact Form:
2527
Decimal Form:
0.925‾
Evaluate (125)^(2/3)(81)^(-3/4)

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