# How do you simplify 5cd^-9?

Jul 27, 2016

$\frac{5 c}{d} ^ 9$

#### Explanation:

What I believe you mean is to express using only positive exponents.
To do this use the $\textcolor{b l u e}{\text{law of exponents}}$

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder}} \textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{a}^{-} m \Leftrightarrow \frac{1}{a} ^ m} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

The expression may now be written.

$5 c {d}^{-} 9 = \frac{5}{1} \times \frac{c}{1} \times \frac{1}{d} ^ 9 = \frac{5 \times c \times 1}{1 \times 1 \times {d}^{9}} = \frac{5 c}{d} ^ 9$