Question

EASY POINTS EVALUATION

Answer 1

`(4)/(9)`

Explanation:

`( \frac{16 {}^{ (1)/(2) } }{81 { }^{ (1)/(2) } }) \\ ( \frac{ {4}^{2 * (1)/(2) } }{9^{2 * (1)/(2) } }) \\ ( (4^(1) )/(9 ^(1) ) ) \\ (4)/(9)`

Answer 2

Question :

• Evaluate :
  `\sf{ \bigg( (16)/(81) \bigg) } {}^{ (1)/(2) }`

Solution :

`: \: \implies \: \sf{ \bigg( \frac{4 {}^(2) }{9 {}^(2) } \bigg) } {}^{ (1)/(2) } \\ \\ : \: \implies \: \sf{ \bigg( \frac{4 {}^{ \: 2 * (1)/(2) } }{9 {}^{ \: 2 * (1)/(2) } } \bigg) } \\ \\ : \: \implies \: \sf{ \bigg( \frac{4 {}^{ \: \cancel2 * (1)/( \cancel2) } }{9 {}^{ \: \cancel2 * (1)/( \cancel2) } } \bigg) } \\ \\ : \: \implies \: \sf{ \bigg( \frac{4 {}^( \: 1 )}{9 {}^( \: 1 ) } \bigg) } \\ \\ : \: \implies \: \red{\bf{ \bigg( (4 )/(9 ) \bigg) } }`