## anonymous one year ago HELP PLEASE WITH ALGEBRA QUESTION Rewrite in simplest rational exponent form square root x times 4 square root x show each step of your process

1. anonymous

@LexiLuvv2431 @Ashy98 @ali2x2 @bubblysmiles24 @BrandonR @babylove2015 @Crazyandbeautiful @ChiakiNagoya @Calcmathlete

2. anonymous

Is your question $$\sqrt{x}\times4\sqrt{x}$$?

3. anonymous

$\sqrt{x} \times \sqrt[4]{x}$

4. anonymous

i used to live in FM how crazy!

5. anonymous

oops sorry i asked the wrong question can i give you a new one? sorry i already figured this one out

6. anonymous

really!? and np :)

7. anonymous

This is the new question: Rewrite in simplest radical form: $x^{5/6}$ divided by $x^{1/6}$ Show each step of your process

8. anonymous

Alright. Do you remember what you do to the exponents when you divide with the same base?

9. anonymous

so it would be exponent 2/3 and then move the 3 outside the square root and the 2 inside?

10. anonymous

Yes! Excellent job!

11. anonymous

So, you should get $$\sqrt[3]{x^2}$$ to make sure you're thinking what I'm thinking.

12. anonymous

And yeah, if you want a quick way to remember those exponent rules, just do a small calculation to make sure. The reason $$\frac{2^3}{2^2}=2^1$$, for example, is because exponents are just multiplication. So, \frac{2\times2\times2}{2\times2}, and you can cancel two of those 2's, and you're left with one 2.

13. anonymous

okay thanks!

14. anonymous

Sorry about the formatting, $\frac{2\times2\times2}{2\times2}$but I think you get the gist of it. And yeah, it's cool meeting someone else from FM. Gtg, see ya. :)

15. anonymous

its fine and yeah its funny! thanks again bye!