Question

How do you divide `\frac { \frac { 25z ^ { 4} x ^ { 8} } { 49} } { \frac { 175x ^ { 3} z ^ { 7} } { 21} }`?

Answer 1

`=frac{3x^5}{49z^4}`

Explanation:

`frac{(frac{25x^8z^4}{49})}{(frac{175x^3z^7}{21})}`

Dividing is the same as multiplying by the reciprocal:

`=frac{color(red)(25)color(blue)(x^8)color(green)(z^4)}{color(purple)(49)}*frac{color(purple)(21)}{color(red)(175)color(blue)(x^3)color(green)(z^7)}`

`=frac{color(purple)(3)color(blue)(x^5)}{color(purple)((7))color(red)((7))color(green)(z^3)}`

`=frac{3x^5}{49z^3}`