Question

(81)^1/3 / (81)^1 /12​

Answer 1

Answer:

$\huge{ \boxed { \boxed{ \bold { \pink{ \sqrt[3]{3}}}}}}$

Step-by-step explanation:

$we \: know \: that \: \\ 81 = 3 \times 3 \times 3 \times 3 \\ 81 = {3}^{4} \\ now \: \\ \frac{({81})^{ \frac{1}{3} } }{( {81})^{ \frac{1}{12} } } \: \\ = ({81})^{ \frac{1}{3} - \frac{1}{12} } \\ = ({81})^{ \frac{4 - 3}{12} } \\ = {( {3}^{4} )}^{ \frac{1}{12} } \\ = {(3)}^{4 \times \frac{1}{12} } \\ = {(3)}^{ \frac{1}{3} } \\ = \sqrt[3]{3}$

$\bold{ \large { \underline{ \red{formula \: used}}}} \longrightarrow \\ 1. \boxed{\bold{ \blue{ {a}^{m} \div {a}^{n} = {a}^{m - n}}}} \\ 2. \bold{{( {a}^{m})}^{n}={a}^{mn}}$