Question

Simplify
9⅓ x 27-½ ÷ 3¹/6 x 3-⅔

Answer 1

Answer:

hey mate

Step-by-step explanation:

here is your answer

solution

=>$\frac{ {9}^{ \frac{1}{3} \times {27}^{ - \frac{1}{2} } } }{ {3}^{ - \frac{1}{6} } \times </p><p>{3}^{ - \frac{2}{3} } }$

=>(3)²⅓ × (3³)-½ / 2 -1/6 × 3 - ⅔

=>3 ⅔ × 3 - 3/2 / 3-1/6 × 3 - ⅔

=>$\frac{ {3}^{ \frac{4}{6} - \frac{3}{2} } }{ {3}^{ - \frac{1}{6} - \frac{2}{3} } }$

=>$\frac{ {3}^{ - \frac{5}{6} } }{ {3}^{ - \frac{5}{6} } }$

=>${3}^{ - \frac{5}{6} + \frac{5}{6} }$

=>${3}^{0}$

=> 1

$thanku$

#BeBrainly

Answer 2

Step-by-step explanatio

$\sf\red{ {9}^{ \frac{1}{3} } } \\ \sf\red{ = > {3}^{2 \times \frac{1}{3} } } \\ \sf\red{ = > 3^2/3} \\ \sf\blue{ {27}^{ \frac{ - 1}{2} } } \\ \sf\blue{ = > {3}^{3 \times \frac{ - 1}{2} } = > {3}^{ \frac{ - 3}{2} } } \\ \sf\purple{we \: know \: {a}^{m} + {a}^{n} = {a}^{m + n} } \\ \sf\orange{ = > \frac{ {3}^{2/3 + \frac{ - 3}{2} } }{ {3}^{ \frac{ -1}{6} + \frac{ - 2}{3} } } } \\ \sf\purple{ = > {3}^{ \frac{4 - 9}{2 } } \div {3}^{ \frac{ - 1 - 4}{6} } } \\ \sf\purple{ = > \frac{ {3}^{ \frac{ - 5}{6} } }{ {3}^{ \frac{ - 5}{6} } } } \\ \sf\red{we \: know \: \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} } \\ \sf\purple{ = > {3}^{ \frac{ - 5}{6} - \frac{ - 5}{6} } } \\ \sf\purple{ = > {3}^{ \frac{ - 5 + 5}{6} } } \\ \sf\purple{ = > {3}^{ \frac{0}{6} } = {3}^0 } }$

$\large\boxed{ \fcolorbox{red}{purple}{mark \: as \: brainlisr}}$

$\large\boxed{ \fcolorbox{purple}{yellow}{pls \: follow \: me}}$