Question

value of [9(64⅓+125⅓)]¼ is

Answer 1

Step-by-step explanation:

641/3=4

1251/3=5

(64⅓+125⅓)=9

(9*9)1/4=3

Answer 2

$\huge\color{orange}\boxed{\colorbox{black}{\tt{☣ANSWER☣}}}$

${(9( {64}^{ \frac{1}{3} } + {125}^{ \frac{1}{3} }) )}^{ \frac{1}{4} }$

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${64}^{ \frac{1}{3} } = {( {4}^{3} )}^{ \frac{1}{3} } = {4}^{3 \times \frac{1}{3} } = 4$

${125}^{ \frac{1}{3} } = {({5}^{3}) }^{ \frac{1}{3} } = 5$

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${(9( {64}^{ \frac{1}{3} } + {125}^{ \frac{1}{3} })) }^{ \frac{1}{4} }$

${(9(4 + 5))}^{ \frac{1}{4} }$

${(81)}^{ \frac{1}{4} }$

${ ({3}^{4}) }^{ \frac{1}{4} }$

$3$