What is the value of m in the following equation? m³ = 1/125 m =

To solve for ( m ) in the equation ( m^3 = frac{1}{125} ), we can take the cube root of both sides.

1. Rewrite ( frac{1}{125} ) as ( 125^{-1} ).
2. We know that ( 125 ) is ( 5^3 ), so ( frac{1}{125} = frac{1}{5^3} = 5^{-3} ).
3. Thus, ( m^3 = 5^{-3} ).
4. Taking the cube root gives us ( m = 5^{-1} ).
5. Therefore, ( m = frac{1}{5} ).

So the value of ( m ) is ( frac{1}{5} ). If you’d like assistance with more questions or topics, feel free to ask!