What is x^{1/2}(x-3)^{(-1)/4} ?

The solution to x^{1/2}(x-3)^{(-1)/4} is (x^{1/2})/((x-3)^{1/4)}

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simplify x^{1/2}(x-3)^{(-1)/4}

simplify

x^{\frac{1}{2}} (x - 3)^{\frac{- 1}{4}}

\frac{x ^{\frac{1}{2}}}{( x - 3 ) ^{\frac{1}{4}}}

Solution steps

x^{\frac{1}{2}} (x - 3)^{\frac{- 1}{4}}

Simplify

(x - 3)^{\frac{- 1}{4}} : \frac{1}{( x - 3 ) ^{\frac{1}{4}}}

= x^{\frac{1}{2}} \frac{1}{( x - 3 ) ^{\frac{1}{4}}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{x ^{\frac{1}{2}} \cdot 1}{( x - 3 ) ^{\frac{1}{4}}}

Apply rule:

a \cdot 1 = a

x^{\frac{1}{2}} \cdot 1 = x^{\frac{1}{2}}

= \frac{x ^{\frac{1}{2}}}{( x - 3 ) ^{\frac{1}{4}}}

\frac{( - 6 ) ^{2} x c ^{4}}{( - c ) ^{5}}

d (4 x^{4} + 6 a^{2} + 7 x + 5)

\frac{a ^{2} + 1 + 1}{( a ^{2} )}

12 a^{2} b^{34} a^{3} b^{3} - 8 a^{2} b^{3}

- 0.25 - x^{2} - 25

What is x^{1/2}(x-3)^{(-1)/4} ?
The solution to x^{1/2}(x-3)^{(-1)/4} is (x^{1/2})/((x-3)^{1/4)}