# How do you write the expression (-4)(-4)(-4) using exponents?

Mar 7, 2018

See a solution process below:

#### Explanation:

Each time you multiply the same term together the exponent is the number of the same terms being multiplied.

So, if you are multiplying the same term twice the exponent is $2$

$a \cdot a = {a}^{2}$

If you are multiplying the same term three times the exponent is $3$

$a \cdot a \cdot a = {a}^{3}$

If you are multiplying the same term four times the exponent is $3$

$a \cdot a \cdot a \cdot a = {a}^{4}$

and so on.

In this problem we are multiplying $- 4$ three times so we can write this in exponent form as:

$- 4 \cdot - 4 \cdot - 4 = - 4 {a}^{3}$