# How do you simplify a^5*a^-9*a^3?

May 29, 2018

${a}^{-} 1$

#### Explanation:

Given: ${a}^{5} \cdot {a}^{-} 9 \cdot {a}^{3}$

Use the algebraic property which states that ${a}^{b} \cdot {a}^{c} \cdot {a}^{d} = {a}^{b + c + d}$.

So here we have:

$= {a}^{5 + \left(- 9\right) + 3}$

$= {a}^{- 4 + 3}$

$= {a}^{-} 1$