Question

Multiply x to the power of 1 over 2 times x to the power of 3 over 7

Answer 1

x^3/14 right?

Answer 2

it sounds like the quetion is asking for
\[x ^{1/2}*x ^{3/7}\]
when variables with powers are multiplied, the powes are added, so you must add 1/2 and 3/7
this can be done by finding a common denominator.
you will have 7/14 + 6/14
that is equal to 13/14.
this is the power of x, so your answer is
\[x ^{13/14}\]

Answer 3

It is same base property:)