Question

[(216)2/3]1/2 FIND THE value​

Answer 1

Answer:

the answer is 72

Step-by-step explanation:

[(216)2/3]1/2

= [216×2/3]1/2

= [432/3]1/2

= [144]1/2

= 144×1/2

= 144/2

= 72 .Ans.

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Answer 2

Answer:

$[\left(216\right)^{\frac{2}{3}}]^{\frac{1}{2}}=6$

Step-by-step explanation:

$[\left(216\right)^{\frac{2}{3}}]^{\frac{1}{2}}$

$=\left(216\right)^{\frac{2}{3}\times \frac{1}{2}}$

$By\: exponential\:law:\\\boxed {(a^{m})^{n}=a^{mn}}$

$=\left(216\right)^{\frac{1}{3}}$

$=\left(6^{3}\right)^{\frac{1}{3}}$

$=6^{3\times \frac{1}{3}}$

$=6$

Therefore,

$[\left(216\right)^{\frac{2}{3}}]^{\frac{1}{2}}=6$

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