# How do you simplify (5* 10^ -3)/(2*10^ -4)?

Jul 16, 2016

$25$

#### Explanation:

One of the laws of indices deals with negative exponents.

By definition: ${x}^{-} m = \frac{1}{x} ^ \left(+ m\right)$

We can change the expression into

$\frac{5 \times {10}^{4}}{2 \times {10}^{3}}$

This simplifies to $\frac{5 \times 10}{2} = 25$