Question

solve
(x+1)^3/2=27

Answer 1

hii @wade.ness

Is your question \(\Large (x+1)^{3/2}=27 \) or \(\Large \frac{(x+1)^3}{2}=27 \)?

Answer 2

I was asking a clarification question, I know what it means xD

Answer 3

oh, I am so sorry Lui.

Answer 4

it's the first part, there is no division

Answer 5

(x+1) to the power of 3/2 = 27

Answer 6

Okay, so what you could do first is what @Loser66 suggested, changing 27 to an exponent, so:
\(\Large (x+1)^{3/2} =3^3 \)

Now, to cancel the exponent multiply by it's reciprocal:
\(\Large [(x+1)^{3/2}]^{2/3} =(3^3)^{2/3} \)

Do you know how to multiply exponents?

Answer 7

yeah

Answer 8

so i get
x+1=9 and i subtract one so x=8

Answer 9

yup

Answer 10

thanks!

Answer 11

Nice job :)

Answer 12

And welcome to OpenStudy, hope you enjoy your time here \(\Huge \color{purple}{\star^{\star}} \)

Answer 13

Thanks so much! :) finally a place where i can actually get help!

Answer 14

You're welcome, and good luck on everything :)