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

The solution to simplify-1/4*(x^{3/4})/(-2)*x^{-1/4} is (x^{1/2})/8

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

simplify

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

\frac{x ^{\frac{1}{2}}}{8}

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

x^{- \frac{1}{4}} = \frac{1}{x ^{\frac{1}{4}}}

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

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

\frac{x ^{\frac{3}{4}}}{- 2} = - \frac{x ^{\frac{3}{4}}}{2}

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

Apply rule:

- a (- b) = ab

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

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

Apply the fraction rule:

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

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

Simplify

1 \cdot x^{\frac{3}{4}} \cdot 1 : x^{\frac{3}{4}}

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

Simplify

\frac{x ^{\frac{3}{4}}}{x ^{\frac{1}{4}}} : x^{\frac{1}{2}}

= \frac{x ^{\frac{1}{2}}}{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= \frac{x ^{\frac{1}{2}}}{8}

\frac{2}{( x ^{2} - x - 6 )} + \frac{( 3 x )}{( x ^{2} - 9 )}

m^{3} - 14 m + 8

sec^{2} (x) - sin^{2} (x) - cos^{2} (x)

co \frac{tan ( x )}{2}

x + 2 x^{3} + 6 x + y

What is simplify-1/4*(x^{3/4})/(-2)*x^{-1/4} ?
The solution to simplify-1/4*(x^{3/4})/(-2)*x^{-1/4} is (x^{1/2})/8