# How do you simplify e^-2*e^6?

Jul 13, 2016

${e}^{- 2} \cdot {e}^{6} = {e}^{4}$

#### Explanation:

We can use the law of exponents to simplify this expression.

Note that ${a}^{n} \cdot {a}^{m} = {a}^{m + n}$

In this case, we do the same:

${e}^{- 2} \cdot {e}^{6} = {e}^{- 2 + 6} = {e}^{4}$

If you like, you can think of ${e}^{- 2}$ as $\frac{1}{e} ^ \left(2\right)$.

Alternatively you can write ${e}^{6} / {e}^{2} = {e}^{4}$