## anonymous one year ago Simplify: (21x^3y^4) / (-7xy) A. -3x^2y^3 B. -3xy C. 14x^2y^3 D. 14xy My answer: A PLease show me how to get the answer my teacher is a told brat.

1. anonymous

@pooja195

2. pooja195

@Nnesha

3. anonymous

@Awolflover1 @zepdrix

4. Nnesha

$\huge\rm \frac{ x^m }{ x^n } = x^{m-n}$ move exponent from bottom to the top of fraction (if bases are the same )

5. Nnesha

$\large\rm \frac{21x^3y^4}{ -7xy} = -\frac{ 21 }{ 7 } \times \frac{ x^3 }{ x } \times \frac{ y^4 }{ y }$

6. anonymous

that not right the / spouse to mean divid

7. Nnesha

yeah ik

8. Nnesha

what's not correct ??

9. anonymous

nothing I though you though that was a fraction

10. Nnesha

yep that's a fraction :-)

11. Nnesha

or you can factor x^3 remember exponent rule when you multiply same bases you should add their exponents $\huge\rm x^m \times x^n = x^{m+n}$ so you can write $\large\rm x^3 = x \times x \times x$

12. Nnesha

$$\color{blue}{\text{Originally Posted by}}$$ @Nnesha $\large\rm \frac{21x^3y^4}{ -7xy} = -\frac{ 21 }{ 7 } \times \frac{ x^3 }{ x } \times \frac{ y^4 }{ y }$ $$\color{blue}{\text{End of Quote}}$$ $\large\rm -\frac{ 21 }{ 7 } \times \frac{ x \times x \times x }{ x } \times \frac{ y^4 }{ y }$ now cancel ot x

13. anonymous

so their is only 2 x left

14. Nnesha

^^yep x times x can be written as = ??? hint exponent rule x^m times x^n = x^{m+n}

15. anonymous

okay thanks

16. Nnesha

got it ??

17. Nnesha