Divide square root of 81/x

Math
81x
Rewrite 81x as 81x.
81x
Simplify the numerator.
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Rewrite 81 as 92.
92x
Pull terms out from under the radical, assuming positive real numbers.
9x
9x
Multiply 9x by xx.
9x⋅xx
Combine and simplify the denominator.
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Multiply 9x and xx.
9xxx
Raise x to the power of 1.
9xx1x
Raise x to the power of 1.
9xx1x1
Use the power rule aman=am+n to combine exponents.
9xx1+1
Add 1 and 1.
9xx2
Rewrite x2 as x.
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Use axn=axn to rewrite x as x12.
9x(x12)2
Apply the power rule and multiply exponents, (am)n=amn.
9xx12⋅2
Combine 12 and 2.
9xx22
Cancel the common factor of 2.
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Cancel the common factor.
9xx22
Divide 1 by 1.
9xx1
9xx1
Simplify.
9xx
9xx
9xx
Divide square root of 81/x

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