Question

2.Using the properties of exponents and radicals, design at least three different equivalent forms of x². You must show how each one can be simplified back to x² in two or more steps. Stretch your mind and get creative! Keep in mind that something too simple, like x • x would not be acceptable since it takes only one step to convert it to x².

Answer 1

@radar help?

Answer 2

@agent0smith help?

Answer 3

@e.mccormick

Answer 4

@wio

Answer 5

Sqrt(x)^4 is one.

Answer 6

can you show me steps on how it simplified back down to x^2?

Answer 7

Sqrt(x)^4 = (x^1/2)^4 = x^4/2 = x^2

Answer 8

can you do 2 more equations & show me?

Answer 9

@agent0smith

Answer 10

I'll do one, and you should be able to find one more using the same pattern

First:
Sqrt(x)^4 = (x^1/2)^4 = x^4/2 = x^2

Second:
cuberoot(x)^6 = (x^1/3)^6 = x^6/3 = x^2

Answer 11

My problem with this question:
You say the number of steps matters, but haven't really defined what counts as a step.

Answer 12

x*x*x/x

Answer 13

one more? @agent0smith

Answer 14

please ? @agent0smith

Answer 15

You have one more above, wio's

Answer 16

I don't understand that one..

Answer 17

could you give me one more?

Answer 18

@agent0smith

Answer 19

First:
Sqrt(x)^4 = (x^1/2)^4 = x^4/2 = x^2

Second:
cuberoot(x)^6 = (x^1/3)^6 = x^6/3 = x^2

Follow the pattern, find a third.

Answer 20

can you please give me one more?/: I have like 40 assignments due tonight.

Answer 21

@agent0smith

Answer 22

(x^1/2)^4

(x^1/3)^6

Look at the pattern, how the fractions and the numbers change. Copy and paste one of those and make a third.