Question

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

Answer 1

Answer:

Option A :- $\sf {a}^{\frac{1}{12}}$

Step-by-step explanation:

$\hookrightarrow \sf \: \frac{ {a}^{ \frac{1}{3} } }{ {a}^{ \frac{1}{4} } }$

Simplify the expression

$\hookrightarrow \sf \: {a}^{ \frac{1}{3} - \frac{1}{4} }$

Transform the Expression

$\hookrightarrow \sf \: {a}^{ \frac{4 - 3}{12} }$

Calculate

$\hookrightarrow \sf {a}^{\frac{1}{12}}$