Question

Please help!!!
Which expression is equivalent to (3m^-1n^2)^4/(2m^-2n)^3

Answer 1

`\text{Use:}\\\\(a\cdot b)^n=a^nb^n\\\\(a^n)^m=a^(n\cdot m)\\\\(a^n)/(a^m)=a^(n-m)`


`((3m^(-1)n^2)^4)/((2m^(-2)n)^3)=(3^4(m^(-1))^4(n^2)^4)/(2^3(m^(-2))^3n^3)=(81m^(-4)n^8)/(8m^(-6)n^3)\\\\=10.125m^(-4-(-6))n^(8-3)=10.125m^2n^5`

Answer 2

The answer on edg is B!

Hope this helps!