Question

Simplify **see attached image**

Answer 1

This is not college level math xD

Answer 2

I am completely confused as of to how to simplify

Answer 3

it says it is on the accuplacer practice .-.

Answer 4

Have you considered factoring out the common \(2^{3/2}\)?

Answer 5

no, I am just confused all around about this question. I've not learned how to simplify with exponents as such.

Answer 6

Well it will be easier if you separate the exponents into integer and fractional parts.

Answer 7

\[2^{3/2} \implies 2^{2/2}\sqrt{2} \implies 2\sqrt{2}\]

as such

Answer 8

\(\huge2^{7/2}-2^{3/2}-2^{5/2}\)
\(\huge2^{6/2+1/2}-2^{2/2+1/2}-2^{4/2+1/2}\)
\(\huge2^3\cdot\sqrt{2}-2\cdot\sqrt{2}-2^2\cdot\sqrt{2}\)
\(\huge\sqrt{2}(2^3-2-2^2)\)
\(\huge\sqrt{2}(2)\Longrightarrow2\sqrt{2}\)