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.
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: