Question

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

Answer 1

`-t^3`

Explanation:

The product rule, `a^m*a^n = a^(m + n)`, can be applied to this scenario

Imagine each `(-t)^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`.

`(-t)^1(-t)^1(-t)^1 = (-t)^(1+1+1)`

or

`-t^1*-t^1*-t^1 = -t^(1+1+1)`

`:. = -t^3`