You can
put this solution on YOUR website!Given:
.
.
By the power rule of exponents you multiply each of the exponents inside the parentheses
by the
.
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When you do that the problem becomes:
.
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Note ... for some reason the 3 in the numerator of each multiplication gets clipped off.
Hope this doesn't confuse you.
.
Do the multiplication by
in each of the exponents and you get:
.
.
At this point, let's just focus on
. We can work the power rule in reverse and
get two different forms of this as follows:
.
Either
or
.
Applying the power rule to either of these gets you back to
.
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So to evaluate this term we can either find the fourth root of 16 and cube it, or we can
cube 16 and take the fourth root of that answer. In this case it's easier to find the
fourth root of 16 which is 2 and cube that to get
as the answer. So now we
can replace
with
and the problem is then down to:
.
.
But if a term in the numerator has a minus exponent, you can put that same term in the
denominator with a positive exponent. So we can change
by putting it in the
denominator as
and the answer to this problem becomes:
.
.
Notice that in taking the fourth root of x and y, to get real answers we must limit
both of these variables to positive values. Therefore, we need to make the answer have
positive values of x and y which we can do through absolute values. Therefore, the answer is:
.
.
Hope this helps you to understand the problem.
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