Question

Divide x to the 1 half power divided by x to the 2 sevenths power.

x to the 2 fourteenths power
x to the 3 fourteenths power
x to the 11 fourteenths power
x to the 1 fifth power

Answer 1

x to the three fourteenths

Explanation:

Answer 2

`(x^(1)/(2) )/(x^(2)/(7))`

According to the rule of exponents
`(a^m)/(a^n) = a^((m-n))` , i.e. when two terms are in division with same base , we subtract the exponents

So

`(x^(1)/(2) )/(x^(2)/(7)) = x^{((1)/(2)) - ((2)/(7))}`

`=x^(3)/(14)`

Or

x to the 3 fourteenths power