Question

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

Answer 1

$( \frac{16}{2} )^{ \frac{1}{2} } = 2 {}^{x}$
And if we know

$16 \div 2 = 8$
So that means

${8}^{ \frac{1}{2} } = {2}^{x}$
We also know that
$2 \times 2 \times 2 = 8$
Which is equivalent to
${2}^{3} = 8$
So if we rewrite the equation with this...
$2 {}^{3 \times \frac{1}{2} } = {2}^{x}$
So that means

$3 \times \frac{1}{2} = x$
$x = \frac{3}{2}$
And we get to the end result that

$( \frac{16}{2} ) {}^{ \frac{1}{2} } = 2 {}^{ \frac{3}{2} }$

Answer 2

Question

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

Answer:

2²

Step-by-step explanation:

16/2^1/2 =

8/2 =

4

4 = 2²