Question

Express 16/2^1/2 as a power of 2

Answer 1

Question

Express 16/2^1/2 as a power of 2

Answer:

2²

Explanation:

16/2^1/2 =

8/2 =

4

4 = 2²

Answer 2

`( (16)/(2) )^{ (1)/(2) } = 2 {}^(x)`
And if we know


`16 / 2 = 8`
So that means


`{8}^{ (1)/(2) } = {2}^(x)`
We also know that

`2 * 2 * 2 = 8`
Which is equivalent to

`{2}^(3) = 8`
So if we rewrite the equation with this...

`2 {}^{3 * (1)/(2) } = {2}^(x)`
So that means


`3 * (1)/(2) = x`

`x = (3)/(2)`
And we get to the end result that


`( (16)/(2) ) {}^{ (1)/(2) } = 2 {}^{ (3)/(2) }`