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

1 Answer
Aug 6, 2016

Answer:

#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#