Question

How do you simplify `\frac { 10y ^ { - 6} } { 2y ^ { - 10} }`?

Answer 1

`=5y^4`

Explanation:

Note the law of indices: `x^-m = 1/x^m`

`(color(red)(10)color(blue)(y^-6))/(color(red)(2)color(green)(y^-10))`

`=(color(red)(5)color(green)(y^10))/color(blue)(y^6)`

`=5y^4`