Question

Evaluate:- {5(1/8⅓+27⅓)³}¼​

Answer 1

Answer:

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Answer 2

Answer:

$\huge\bold\pink{Evaluate : } \:$

$= \sf{[ 5( {8}^{ \frac{1}{3} } + 2 {7}^{ \frac{1}{3} } {)}^{3} {]}^{ \frac{1}{4} } }$

$= \sf{[ 5( {2}^{\cancel3 \times \frac{1}{\cancel3} } + {3}^{\cancel3 \times \frac{1}{\cancel3} } {)}^{3} {]}^{ \frac{1}{4} } }$

$= \sf{[ 5(2 + 3 {)}^{3} { ]}^{ \frac{1}{4} } }$

$= \sf{[5(5 {)}^{3} {]}^{ \frac{1}{4} } }$

$= \sf{[ {5}^{1} \times {5}^{3} {]}^{ \frac{1}{3} } }$

$= \sf{[ {5}^{1 + 3} { ]}^{ \frac{1}{4} } }$

$= \sf{( {5}^{4} {)}^{ \frac{1}{4} } }$

$= \sf{(5 {)}^{\cancel4 \times \frac{1}{\cancel4} } }$

$\sf{ = 5}$

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8 = 2×2×2 = 2³

27 = 3×3×3 = 3³

Step-by-step explanation:

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