Question

What is the square root of m to the power of 6​

Answer 1

Explanation:

`√(m^6)=\sqrt{m^(3\cdot2)}\qquad\text{use}\ (a^n)^m=a^(nm)\\\\=√((m^3)^2)\qquad\text{use}\ √(a^2)=|a|\\\\=|m^3|\\\\\text{if}\ m\geq0,\ \text{then}\ √(m^6)=m^3\\\\\text{if}\ m<0,\ \text{then}\ √(m^6)=-m^3`