# How do you simplify #(5^-2)^-3#?

##### 2 Answers

#### Explanation:

As

=

=

With practice you could solve this in 1 to 2 lines. I have used a lot more than that to explain things.

#### Explanation:

Consider just

This is stating that 5 is raised to the power of 2 but because we have negative 2 we have to invert it ( turn upside down ).

So write

Note that writing as

Inverting gives:

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

We now have:

Notice that both the numerator and denominator have this index applied.

Inverting