# How do you simplify #(12x^(2)y^(-2))^(5)(4xy^(-3))^(-8)#?

##### 1 Answer

Very detailed answer. The more mathematically able can skip many parts.

#### Explanation:

Look at the two parts separately then put them together afterwards

and simplify. As a side note to aid understanding: if we were to have general form of

Consider the first part:

Rewrite the bit inside the brackets as

So the whole part may be rewritten as:

A method example:

Back to the question:

Consider the second part:

Rewrite the bit inside the bracket as

So the whole part is may be written as:

Although it is not normally written like this it gives:

The net result of this is:

Putting (1) and (2) together gives:

Grouping variables and constants we have:

( remember that

so we have:

Simplifying ->