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How do you simplify x^-1/(4x^4) and write it using only positive exponents?

1 Answer
Apr 4, 2018

$\frac{1}{4 {x}^{5}}$

Explanation:

$\frac{{x}^{-} 1}{4 {x}^{4}}$ can be written as ${x}^{- 1} \cdot \frac{1}{4 {x}^{4}}$.

${x}^{-} 1$ is the same as $\frac{1}{{x}^{1}}$, which is $\frac{1}{x}$.

this means that $\frac{{x}^{-} 1}{4 {x}^{4}} = \frac{1}{x} \cdot \frac{1}{4 {x}^{4}}$

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

$x \cdot 4 {x}^{4} = 4 {x}^{5}$

$\frac{1}{x \cdot 4 {x}^{4}} = \frac{1}{4 {x}^{5}}$.

hence, $\frac{{x}^{-} 1}{4 {x}^{4}} = \frac{1}{4 {x}^{5}}$.

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