simplify (x^{-4})/2

Solution

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

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

\frac{( 13 b ^{2} - 9 b ^{6} + 7 b ^{4} )}{b ^{4}}

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