Could somebody please explain how to simplify this expression?

(x1/4*y5/2)^-2

Write your answer without using negative exponents.

Assume that all variables are positive real numbers.

Thank you in advance.

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- Mar 17th 2008, 12:46 AMeraser851I need help simplifying this expression...
Could somebody please explain how to simplify this expression?

(x1/4*y5/2)^-2

Write your answer without using negative exponents.

Assume that all variables are positive real numbers.

Thank you in advance. - Mar 17th 2008, 12:48 AMtopher0805
Just to clarify, is this your expression?

- Mar 17th 2008, 12:49 AMeraser851
Yes, that's correct.

Sorry, forgot the ^'s before the fractions. - Mar 17th 2008, 01:00 AMtopher0805

Recall that when you raise a variable to a negative exponent like this:

You can change the sign of the exponent by dividing the variable into 1. So:

Using this rule, we can say that:

Recall the rule of exponents that says:

So we can simplify our expression to:

Simplify the fractions:

And recall that

So your final expression is:

- Mar 17th 2008, 01:01 AMeraser851
Oh wow, thank you so much.

I'll record that into my notes!