How do you simplify #\frac { 5v ^ { 5} w ^ { 2} } { 40v ^ { 4} w ^ { 2} }#?

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Answer 1 · 2017-07-30T21:39:35

#v/8#

First of all, numerically, look at #5/40#.

#5/40# has as the greatest common factor #5#, so

#5/5=1 and 40/5=8#

So #5/40 = 1/8#

For the variables, to divide exponents, you subtract the denominator exp from the numerator exp. So it will be

#v^(5-4)=v and w^(2-2)=w^0#

and any number to the power of #0# is equal to #1#.