Question

Simplifysquare root of 2 multiplied by the cube root of 2.

2 to the power of 1 over 6

2 to the power of 2 over 3

2 to the power of 5 over 6

2 to the power of 7 over 6

Answer 1

recall that roots can be written as fractional exponents like so:

\(\huge \sqrt{x}=x^{\frac{1}{2}}\)
\(\huge \sqrt[4]{x}=x^{\frac{1}{4}}\)

Answer 2

also recall that \(x^m*x^n=x^{m+n}\)

Answer 3

So whats the answer though? i don't understand.

Answer 4

X^(1/2) * x^(1/3) =

x ^ (1/2 + 1/3)

Does that help?

Answer 5

Is it B?

Answer 6

No- what is 1/2 plus 1/3 ?

Answer 7

5/6 so C.

Answer 8

Very good !!!!!!

Answer 9

Sorry.. I'm not too good with math, and my lack of sleep isnt really helping much either. But thank you so much for your help!

Answer 10

glad to help out :-)

Answer 11

that's not helping. you fed her the answer

Answer 12

I didn't really understand the way you put it. She/he might have given me the answer, but I understood the way she got it.