Question

How do you simplify `1/( m*m^-3)`?

Answer 1

`m^2`

Explanation:

Using the `color(blue)"laws of exponents"`

`color(orange)"Reminder"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(a^mxxa^n=a^(m+n))color(white)(a/a)|)))........ (1)`

and `color(red)(|bar(ul(color(white)(a/a)color(black)(a^(-m)hArr1/a^m)color(white)(a/a)|)))........ (2)`

Using (1): `1/(m^1 xxm^(-3))=1/(m^(1+(-3)))=1/m^(-2)`

Using (2) : `1/m^(-2)=m^2`

`rArr1/(m.m^(-3))=m^2`