Question

Which of the following is an equivalent expression to the expression a1/3 / a1/4

A. A1/12

B. A7/12

C. 1/1/1/a12

D. 1/7/a12

Answer 1

Option A :-
`\sf {a}^{(1)/(12)}`

Explanation:

`\hookrightarrow \sf \: \frac{ {a}^{ (1)/(3) } }{ {a}^{ (1)/(4) } }`

Simplify the expression

`\hookrightarrow \sf \: {a}^{ (1)/(3) - (1)/(4) }`

Transform the Expression

`\hookrightarrow \sf \: {a}^{ (4 - 3)/(12) }`

Calculate

`\hookrightarrow \sf {a}^{(1)/(12)}`