## anonymous one year ago solve (x+1)^3/2=27

1. Luigi0210

hii @wade.ness Is your question $$\Large (x+1)^{3/2}=27$$ or $$\Large \frac{(x+1)^3}{2}=27$$?

2. Luigi0210

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

3. Loser66

oh, I am so sorry Lui.

4. anonymous

it's the first part, there is no division

5. anonymous

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

6. Luigi0210

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?

7. anonymous

yeah

8. anonymous

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

9. Loser66

yup

10. anonymous

thanks!

11. Luigi0210

Nice job :)

12. Luigi0210

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

13. anonymous

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

14. Luigi0210

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