# How do you simplify (a^-3b^-3)^0 and write it using only positive exponents?

Jan 26, 2017

1

#### Explanation:

By definition any expression to the power of 0 equals 1

We can break this example down into more simple steps as follows:

Remember: ${\left({a}^{m}\right)}^{n} = {a}^{m \times n}$

Here we have: ${\left({a}^{-} 3 \times {b}^{-} 3\right)}^{0}$

Hence: ${a}^{- 3 \times 0} \times {b}^{- 3 \times 0}$

$= {a}^{0} \times {b}^{0}$

$= 1 \times 1 = 1$