# How do you simplify (2^0)^3 /( 2^3•3^3)?

Jul 3, 2016

$\frac{1}{216}$

#### Explanation:

First step is to remove the brackets - multiply the indices.

2^0/(2^3 xx 3^3) = 1/(2^3 xx 3^3)" (same result as " 1^3)

In the denominator there are a few options - depending what is regarded as being 'simpler'.

We could simply leave it as it is, in index form with prime bases.

We could use the power form: 8 x 27, to get 216.

We could write it as ${\left(2 \times 3\right)}^{3} , \text{which gives 216}$

I prefer the third option - knowing the squares and cubes makes simplifying easier than having multiply.