# Divide square root of 81/x 81x
Rewrite 81x as 81x.
81x
Simplify the numerator.
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.
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.
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.
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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