# Simplify 1/(2 square root of x)

12x
Multiply 12x by xx.
12x⋅xx
Combine and simplify the denominator.
Multiply 12x and xx.
x2xx
Move x.
x2(xx)
Raise x to the power of 1.
x2(x1x)
Raise x to the power of 1.
x2(x1x1)
Use the power rule aman=am+n to combine exponents.
x2x1+1
x2x2
Rewrite x2 as x.
Use axn=axn to rewrite x as x12.
x2(x12)2
Apply the power rule and multiply exponents, (am)n=amn.
x2x12⋅2
Combine 12 and 2.
x2x22
Cancel the common factor of 2.
Cancel the common factor.
x2x22
Divide 1 by 1.
x2x1
x2x1
Simplify.
x2x
x2x
x2x
Simplify 1/(2 square root of x)