Question

please solve this question please
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Answer 1

Answer:

i am soo small for this question...

Answer 2

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✪Solve :

$\huge{\mathtt{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}\blue{!}}}$

$\: \ \ (1)\bf { {81}^{ \frac{1}{4} } = {3}^{3 \frac{1}{3} } }$

$\: \: \implies \displaystyle \sf{ {3}^{ {3}^{ \frac{1}{3} } } = 3}$

$\: \: \implies \fbox {\color {red} \: 3}$

$\: \bf{(2) \: \frac{{15 }^{ \frac{1}{2} } }{ {15}^{ \frac{1}{4} } } }$

$\: \\ \implies \displaystyle \sf{ \frac{ {15}^{ \frac{1}{2} } }{ {15}^{ \frac{1}{4} } } } = {15}^{ \frac{1}{2} - \frac{1}{4} } = {15}^{ \frac{2}{8} } = {15}^{ \frac{1}{4} }$

$\: \implies \boxed{ \sf{ \color{green} \: {15}^{ \frac{1}{4} } }}$

$\: \: \:(3) \bf{ {8}^{ \frac{1}{5} } \times {2}^{ \frac{2}{4} } }$

$\: \implies \displaystyle \sf{ {2}^{ \frac{3}{5} } \times {2}^{ \frac{1}{2} } }$

$\: \implies \displaystyle \sf{ {2}^{ \frac{3}{5} + \frac{1}{2} } }$

$\: \implies \displaystyle \sf{ {2}^{ \frac{6 + 5}{10} } }$

$\: \: \implies \displaystyle \sf{ {2}^{ \frac{11}{10} } }$

$\: \: \implies \boxed{ \color{cyan} \: {2}^{ \frac{11}{10} } }$

$\: \: (4)\bf{ {64}^{ \frac{1}{2} } + {32}^{ \frac{1}{5} } }$

$\: \implies \displaystyle \sf{ {8}^{2 \frac{1}{2} } + {2}^{5 \frac{1}{5} } }$

$\: \: \implies \displaystyle \sf{8 + 2}$

$\: \implies \displaystyle \sf{10}$

$\: \: \implies \boxed{ \sf{ \color{gray} \: 10}}$

$\: \: \: (5) \bf{ {125}^{ \frac{1}{3} } + {64}^{ \frac{1}{2} } }$

$\: \implies \displaystyle \sf{ {5}^{3 \frac{1}{3} } + {8}^{2 \frac{1}{2} } }$

$\: \: \implies \displaystyle \sf{5 + 8}$

$\: \: \implies \displaystyle \sf{13}$

$\: \: \implies \boxed{\displaystyle \sf{ \color{teal} \: 13}}$