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## a123 4 years ago Simplify: (3x^5/6) * (8x^2/3)? Please show steps; I don't understand how to do these types of problems.

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1. saifoo.khan

|dw:1314147083078:dw|

2. PetiteJiji

1) Rewrite the question (see the attachment) 2) Multiply all the numbers 3) then x terms the final answer is$4/3 x ^{7}$

3. Hero

Thought you didn't find the drawing board useful

4. saifoo.khan

|dw:1314147216669:dw|

5. Hero

petitejiji, your solution is confusing

6. Hero

$\frac{4x^7}{3}$

7. saifoo.khan

& wrong too!

8. PetiteJiji

|dw:1314147278552:dw|

9. saifoo.khan

is that 100, lol.

10. jim_thompson5910

pretty sure (3x^5/6) * (8x^2/3) is really $\large (3x^{\frac{5}{6}})(8x^{\frac{2}{3}})$ can we get a confirmation?

11. a123

Yes to jim_thompson5910, sorry for any confusion.

12. Hero

I wish people would use parentheses properly

13. a123

hero: sorry, I didn't realize it was wrong until I looked at it again.

14. jim_thompson5910

multiply the coefficients to get 3*8 = 24, this is the final coefficient now add the exponents: 5/6+2/3 = 5/6+4/6 = 9/6 = 3/2, this is the final exponent So $\large (3x^{\frac{5}{6}})(8x^{\frac{2}{3}})=24x^{\frac{3}{2}}$

15. Hero

a123, if it's wrong, speak up. Don't let confusion linger for too long.

16. a123

jim: is that the same thing as $(\sqrt{24x})^{3}$

17. jim_thompson5910

no because the exponent is only over the x and not the 24; however, you can rewrite it as $\large 24\sqrt{x^3}$

18. jim_thompson5910

and simplify to get $\large 24x\sqrt{x}$

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