## anonymous one year ago Rewrite in simplest rational exponent form √x * 4√x

1. anonymous

@welshfella @Nnesha Do you understand this?

2. Nnesha

you can convert root to an exponent form $\huge\rm \sqrt[n]{x^m} =x^\frac{ m }{ n }$ index will become the denominator of the fraction so you can convert square root to 1/2 exponent

3. anonymous

4^1/2?

4. Nnesha

no 4 isn't under the square root $\huge\rm \sqrt{x} \times 4\sqrt{x}$ this is ur question so convert sqrt{x} to exponent form

5. anonymous

x^1/2?

6. Nnesha

yes right $\huge\rm x^\frac{ 1 }{ 2 } \times 4x^\frac{ 1 }{ 2 }$ now apply the exponent rule when we multiply same bases we should add exponents $\huge\rm x^m \times x^n=x^{m+n}$

7. anonymous

4x^2/4?

8. Nnesha

hmm $\huge\rm 4x^{\frac{ 1 }{ 2 }+\frac{ 1 }{ 2 }}$ 1/2+1/2= ???

9. anonymous

1?

10. Nnesha

yes right we should find the common denominator $\frac{ 1 }{ 2 }+\frac{ 1 }{ 2 }=\frac{ 1+1 }{ 2 }$ denominator are the same so just ~ADD~ the number in the numerator

11. anonymous

2/2

12. anonymous

4x^2/2

13. Nnesha

yes right 2/2 = ?

14. anonymous

Do you divide that?

15. Nnesha

yes right

16. anonymous

So, 1?

17. Nnesha

yes right

18. anonymous

So would the answer just be 4x?

19. Nnesha

yes right!

20. anonymous