Question

Applying the different laws of exponents, how to simplify `(16^(1/2))^4` ?

Answer 1

`256`

Explanation:

`"using the "color(blue)"laws of exponents"`

`•color(white)(x)(a^m)^n=a^((mxxn))`

`•color(white)(x)a^(m/n)=(root(n)(a))^m`

`rArr(16^(1/2))^4=16^((1/2xx4))=16^2=256`

`color(blue)"OR"`

`(16^(1/2))^4=(sqrt(16))^4=4^4=256`