Question

What is the quotient of m^6/5 divided by 5/m^2

Answer 1

`\large\boxed{(m^8)/(25)}`

Explanation:

`(m^6)/(5)/(5)/(m^2)\\\\\text{Divide by a fraction is the same as multiply by its reciprocal}\\\\=(m^6)/(5)*(m^2)/(5)=(m^6* m^2)/(5*5)\\\\\text{use}\ a^n* a^m=a^(n+m)\\\\=(m^(6+2))/(25)=(m^8)/(25)`