Evaluate (x^-1)/(4x^4)

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

Move $x^{- 1}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Multiply $x^{4}$ by $x$ by adding the exponents.

Move $x$ .

$\frac{1}{4 (x \cdot x^{4})}$

Multiply $x$ by $x^{4}$ .

Raise $x$ to the power of $1$ .

$\frac{1}{4 (x^{1} x^{4})}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Add $1$ and $4$ .

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