Question

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.

Answer 1

@phi

Answer 2

@E.ali

Answer 3

can you come up with another way to write x^2 ?

Answer 4

I can't use x * x

Answer 5

you could do a*b= x^2

x*x works, but if a= x^3 what is b ?

Answer 6

you could also do a square root of x^4

Answer 7

would b = x^-1?

Answer 8

What is your mean ?

Answer 9

yes, so x^-1 * x^3 = x^2

you could write x^-1 as 1/x so x^3/x = x^2

Answer 10

you could do fractions. let a = x^(1/2) what is b so that
a*b= x^2

Answer 11

b = 3/2

Answer 12

maybe

Answer 13

OH! OK !
Did u get it ?
Need my help ?

Answer 14

because x^(1/2) is sqrt(x) you can write x^(1/2) * x^(3/2) as
\[\sqrt{x} \cdot x^{\frac{3}{2}} = x^2 \]

Answer 15

I think phi got most of it, thanks though ali

Answer 16

You re welcome :

Answer 17

which looks like a nice complicated way to write x squared

Answer 18

haha, thanks

Answer 19

Do u have any question ?

Answer 20

No, I got them answered