Question

How do you simplify `\frac{r^{4} m^{7}}{( r^{2} m ) ( r^{4} m^{3} )}`?

Answer 1

`m^3/r^2`

Explanation:

Recall some of the laws of indices:

`x^m xx x^n = x^(m+n)" and "x^m/x^n = x^(m-n)`

`\frac{r^{4} m^{7}}{( r^{2} m ) ( r^{4} m^{3} )}" "larr` Simplify the denominator:

this gives: `(m^7r^4)/(m^4r^6)`

Now simplify the numerator and denominator - subtract the indices of the like bases.

=`m^3/r^2`