Question

Can someone check my work?

Answer 1

sure, ask away

Answer 2

the question is One of your friends sends you an email asking you to explain how all of the following expressions have the same answer.
the cube root of x cubed

:x to the one–third power • :x to the one–third power • x to the one–third power

1 over x to the –1 power

the eleventh root of the quantity of x to the fifth times x to the fourth times x squared
Compose an email back assisting your friend and highlight the names of the properties of exponents when you use them.

Answer 3

I wrote They are all x. For the first equation the cube root and the cube exponent cancel out so it simplifies to x. For the second equation you would do the same thing as the first one except the cube root is on the inside and the exponent is on the outside but you still get the same answer which is x.For the third equation it would look like 1/x^-1=1/(1/x)=x and you still end up with x. For the fourth equation x^5(x^4)(x^2)=x^11 and like the first and second one the 11th root cancels the 11th power out giving you x.

Answer 4

@wrstlr3232 is my work correct?

Answer 5

The first one is right, but the second one is wrong

Answer 6

Okay, can you explain how?

Answer 7

Yes, @SaturnRepublic explain why you think \(\dfrac{1}{x^{-1}}=\dfrac{1}{\frac{1}{x}}=x\) is wrong.

Answer 8

I don't know?

Answer 9

both are right

Answer 10

@fullington Exactly.

Answer 11

yeah

Answer 12

@Morgan27 It looks like you got it right. Might want to just go over some info on how odd powers/roots keep the sign the same so the explanation is better, but that is about it.

Answer 13

(: alright

Answer 14

Thank you

Answer 15

@e.mccormick can you help me please