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