Question

if x^2=27 what is the value of x^4/3?

Answer 1

so first, do you know what x^(4/3) means?

Answer 2

Well, first find the value of x, and then substitute it in for the x in the next problem!

Answer 3

(I'm assuming no calculators are allowed, though both approaches work)

Answer 4

x^4=(x^2)^2

Answer 5

orx^4=x^2*x^2

Answer 6

i think u can proceed now??

Answer 7

@dawnum08

Answer 8

i don't understand...how does that relate to x^2=27?

Answer 9

well, you know it is basically saying x times itself equals 27.. think which number times itself equals 27

Answer 10

can you explain what x^(4/3) means irst, then I promise I'll explain how it relates

Answer 11

i think i have it, x^2=27, take the square root of both sides you get x=+-3(squareroot of 3), plug both of those in for x in x^4/3?

Answer 12

no, that would be the cubed root

Answer 13

how do you write a square root symbol on a keyboard?

Answer 14

please, first, what does x^(4/3) mean

Answer 15

I apologize, I missed your parentheses, thst is correct but much harder than necessary

Answer 16

so please, first, tell me what x^(4/3) means

Answer 17

i don't understand what you're asking? it means just what it says x to the 4/3 power.

Answer 18

4/3 is the exponent.

Answer 19

hello?

Answer 20

right, but let's say you had 2^(4/3) how would you compute that?

Answer 21

without putting it into a calculator

Answer 22

ie. what does a rational exponent mean?

Answer 23

i don't know.

Answer 24

please read this for me: http://www.purplemath.com/modules/exponent5.htm

Answer 25

once you know about them, it should click as to what @gorv was hinting at with his/her information

Answer 26

i'm confused, is my answer wrong?

Answer 27

Yes.

Answer 28

\[x^{\frac{ 4 }{ 3 }}=(x^{4})^{\frac{ 1 }{ 3 }}=(x^2*x^2)^{\frac{ 1 }{ 3 }}\]

Answer 29

Now, did you read the website?

Answer 30

if you did, what gorv did ^^ should make sense

Answer 31

x^4/3 = the cube root of x^4, i get that

Answer 32

ok, so, do you understand that\( x^4 =x^2x^2\)

Answer 33

and can you tell me why?

Answer 34

yes, i understand (27*27)^1/3

Answer 35

ok, so, can you simplify that? (1 number)

Answer 36

then you are done. It wanted the value of \(x^{4/3}\) not the value of x.

Answer 37

thank you.

Answer 38

np