# How do you simplify  t^-4 using only positive exponents?

Mar 27, 2016

${t}^{- 4} = \frac{1}{{t}^{4}}$

#### Explanation:

If $n$ is a positive integer, then:

${t}^{n} = {\overbrace{t \times t \times \ldots \times t}}^{\text{n times}}$

If $t \ne 0$ then:

${t}^{- n} = \frac{1}{\underbrace{t \times t \times \ldots \times t}} _ \text{n times} = \frac{1}{{t}^{n}}$