Evaluate (81/16)^(3/2)

Math
(8116)32
Apply the product rule to 8116.
81321632
Simplify the numerator.
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Rewrite 81 as 92.
(92)321632
Apply the power rule and multiply exponents, (am)n=amn.
92(32)1632
Cancel the common factor of 2.
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Cancel the common factor.
92(32)1632
Rewrite the expression.
931632
931632
Raise 9 to the power of 3.
7291632
7291632
Simplify the denominator.
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Rewrite 16 as 42.
729(42)32
Apply the power rule and multiply exponents, (am)n=amn.
72942(32)
Cancel the common factor of 2.
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Cancel the common factor.
72942(32)
Rewrite the expression.
72943
72943
Raise 4 to the power of 3.
72964
72964
The result can be shown in multiple forms.
Exact Form:
72964
Decimal Form:
11.390625
Mixed Number Form:
112564
Evaluate (81/16)^(3/2)

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