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

Mar 11, 2018

$- {t}^{3}$

Explanation:

The product rule, ${a}^{m} \cdot {a}^{n} = {a}^{m + n}$, can be applied to this scenario

Imagine each ${\left(- t\right)}^{1}$ on its own to the power of $1$
Since we have $3$ of these we would add all the exponents and keep the base, $- t$.

${\left(- t\right)}^{1} {\left(- t\right)}^{1} {\left(- t\right)}^{1} = {\left(- t\right)}^{1 + 1 + 1}$

or

$- {t}^{1} \cdot - {t}^{1} \cdot - {t}^{1} = - {t}^{1 + 1 + 1}$

$\therefore = - {t}^{3}$