Question

2(5m^4n^-1)^3 simplify show work please

Answer 1

`\large\boxed{2(5m^4n^(-1))^3=250m^(12)n^(-3)=(250m^(12))/(n^3)}`

Explanation:

`\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^(nm)\\\\a^(-n)=(1)/(a^n)\\-------------------\\\\2(5m^4n^(-1))^3=2(5)^3(m^4)^3(n^(-1))^3=2(125)m^(3\cdot4)n^(-1\cdot3)=250m^(12)n^(-3)=(250m^(12))/(n^3)`