Question

[(216)2/3]1/2 find the value of this​

Answer 1

Answer:

64.8

Step-by-step explanation:

216×2÷3

=216×0.6

=129.6×1÷2

=129.6×0.5

=64.8

Answer 2

Answer:

$Answer:</p><p></p><p>[\left(216\right)^{\frac{2}{3}}]^{\frac{1}{2}} \\ =6[(216) </p><p>3</p><p>2</p><p> </p><p> </p><p> ] </p><p>2</p><p>1</p><p> </p><p> </p><p> =6 \\ </p><p></p><p>Step-by-step explanation:</p><p></p><p>[\left(216\right)^{\frac{2}{3}}]^{\frac{1}{2}}[(216) </p><p>3</p><p>2</p><p> </p><p> </p><p> ] </p><p>2</p><p>1</p><p> </p><p> </p><p> </p><p></p><p> \\ =\left(216\right)^{\frac{2}{3}\times \frac{1}{2}} \\ =(216) </p><p>3</p><p>2</p><p> </p><p> × </p><p>2</p><p>1</p><p> </p><p> </p><p> </p><p></p><p>\begin{gathered}By\: exponential\:law:\\\boxed {(a^{m})^{n} =a^{mn}}\end{gathered} </p><p>Byexponentiallaw:</p><p>(a </p><p>m</p><p> ) </p><p>n</p><p> =a </p><p>mn</p><p> </p><p> </p><p> </p><p> </p><p> </p><p></p><p> =\left(216\right)^{\frac{1}{3}}=(216) </p><p>3</p><p>1</p><p> </p><p> </p><p> </p><p></p><p>=\left(6^{3}\right)^{\frac{1}{3}}=(6 </p><p>3</p><p> ) </p><p>3</p><p>1</p><p> </p><p> </p><p> </p><p></p><p>=6^{3\times \frac{1}{3}}=6 </p><p>3× </p><p>3</p><p>1</p><p> </p><p> </p><p> </p><p></p><p>=6=6</p><p></p><p>Therefore,</p><p></p><p>[\left(216\right)^{\frac{2}{3}}]^{\frac{1}{2}}=6[(216) </p><p>3</p><p>2</p><p> </p><p> </p><p> ] </p><p>2</p><p>1</p><p> </p><p> </p><p> =6</p><p></p><p>•••♪$