Question

Simplify square root of 2 multiplied by the cube root of 2.
A: 2 to the power of 1 over 6
B: 2 to the power of 2 over 3
C: 2 to the power of 5 over 6
D: 2 to the power of 7 over 6

Answer 1

@tkhunny

Answer 2

@amistre64

Answer 3

Hint: \(\sqrt{2}\cdot\sqrt[3]{2} = 2^{1/2}\cdot 2^{1/3}\)

Answer 4

you will simply need to memorize properties of exponents then, they should be in your notes or material

Answer 5

what happens to exponents when we multiply like bases?

Answer 6

You add them?

Answer 7

we can demonstrate the process with integer exponents

b^2 * b^3 is a good example, lets expand them

(bb)(bbb) now the paranthesis are really pointless so what we have is

bbbbb, and converting back to an exponent is just b^5

2 bs plus 3bs is 5 bs

Answer 8

yes, you add the exponents when mutliplying like bases :)

Answer 9

Honestly, I have no idea how to do this and it makes me feel so stupid.

Answer 10

And I'm so stressed with the fact of having to get caught up that I can't even concentrate.

Answer 11

playing catchup is never fun .... but thats the hand we are dealt at times. good luck

Answer 12

I just need help on this one question! I already did all the others, this was a 50 question quiz..