# How do you simplify 1/(3p^-4)?

Mar 9, 2016

${p}^{4} / 3$

#### Explanation:

A negative exponent denotes:

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

Yielding the expression:

=1/(3(1/p^4)

To simplify this, multiply the fraction by ${p}^{4} / {p}^{4}$:

$= \frac{1}{3 \left(\frac{1}{p} ^ 4\right)} \left({p}^{4} / {p}^{4}\right)$

The denominator equals

$= 3 \left(\frac{1}{p} ^ 4\right) \left({p}^{4}\right) = 3$

since $\frac{1}{p} ^ 4 \left({p}^{4}\right) = 1$.

Since the numerator is just ${p}^{4}$, the simplified expression equals

$= {p}^{4} / 3$