## kiiraa_x3 one year ago help in math>

1. kiiraa_x3

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2. kiiraa_x3

Simplify the expression and rewrite in rational exponent

3. kiiraa_x3

@Nnesha @nincompoop

4. Nnesha

$\large\rm \frac{ x^\frac{ 3 }{ 2 } ·24y ·\sqrt[4]{4^3}}{ 3x^\frac{ 1 }{ 2 } ·4\sqrt[3]{x^2} }$ is this right ?

5. kiiraa_x3

In the sq root its y^3 not 4^3 other then that its right :)

6. Nnesha

oh okay thanks$\large\rm \frac{ x^\frac{ 3 }{ 2 } ·24y ·\sqrt[4]{y^3}}{ 3x^\frac{ 1 }{ 2 } ·4\sqrt[3]{x^2} }$ we should apply exponent rules first you should convert radical to exponent form $\huge\rm \sqrt[n]{x^m}=x^\frac{ m }{ n }$ index becomes denominator of the fraction

7. Nnesha

$\huge\rm \sqrt[4]{y^3}= y^\frac{ ?? }{ ?? }$

8. kiiraa_x3

y 8/4

9. Nnesha

hmm 8 ?

10. Nnesha

the power of the variable is 3 thats what you should write in the numerator

11. kiiraa_x3

Oops 3/4

12. Nnesha

yes right oh okay thanks$\large\rm \frac{ x^\frac{ 3 }{ 2 } ·24y · {y^\frac{3}{4}}}{ 3x^\frac{ 1 }{ 2 } ·4\sqrt[3]{x^2} }$ what about $\sqrt[3]{x^2}=??$

13. kiiraa_x3

X 2/3

14. Nnesha

$\large\rm \frac{ x^\frac{ 3 }{ 2 } ·24y · {y^\frac{3}{4}}}{ 3x^\frac{ 1 }{ 2 } ·4· x^\frac{2}{3} }$ when we multiply same bases we should ADD their exponents $\huge\rm x^m · x^n=x^{m+n}$ apply this exponent rule

15. kiiraa_x3

Okay

16. Nnesha

y is same as y to the one power $\large\rm \frac{ x^\frac{ 3 }{ 2 } ·24y^1 · {y^\frac{3}{4}}}{ 3x^\frac{ 1 }{ 2 } ·4· x^\frac{2}{3} }$ now add the exponent of the same base at the numerator let me know what you get

17. kiiraa_x3

5/3 for x and 3/4 for y ?

18. Nnesha

how did you get 5/3 for x first deal with the numerator add the exponent of the same and there is y $\large\rm \frac{ x^\frac{ 3 }{ 2 } ·\color{reD}{24y^1 · {y^\frac{3}{4}}}}{ 3x^\frac{ 1 }{ 2 } ·4· x^\frac{2}{3} }$ add the exponent

19. Nnesha

$\huge\rm 24y^1 · 1y^\frac{ 3 }{ 4}$ bases are same (y) so add exponents and multiply the coefficient (24· 1)y^{1+3/4}

20. kiiraa_x3

9/2?

21. Nnesha

how did you get 9/2 ?