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

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

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simplify 1/4 x^{-3/4}

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

(x + 8)^{4}

\frac{5}{2} \times \frac{5}{2}

+ 2 (\frac{48}{3})^{- \frac{1}{4}}

(3 x - 10) (3 x - 5)

2^{- 1 - 1}