Question

which of the following is an equivalent expression to the expression a^1/3 /a^1/4 ?

A. a^1/12
B. a^7/12
C. 1/a^1/12
D. 1/a^7/12

Answer 1

You subtract the exponents since the rule is
(a^b)/(a^c) = a^(b-c)

Make sure the denominators are the same before subtracting the fractions

1/3 - 1/4 = 4/12 - 3/12 = 1/12

The final answer is choice A