Questions: 3 m^-4 / m^3

Solution Steps

To simplify the expression \(\frac{3 m^{-4}}{m^{3}}\), we can use the properties of exponents. Specifically, when dividing like bases, we subtract the exponents. Therefore, the expression simplifies to \(3 m^{-4-3}\).

We start with the expression \(\frac{3 m^{-4}}{m^{3}}\). Using the properties of exponents, we can simplify this by subtracting the exponent in the denominator from the exponent in the numerator. This gives us:

\[ \frac{3 m^{-4}}{m^{3}} = 3 m^{-4-3} = 3 m^{-7} \]

The expression \(3 m^{-7}\) can be rewritten using positive exponents. Recall that \(m^{-n} = \frac{1}{m^{n}}\). Therefore, we can express \(3 m^{-7}\) as:

\[ 3 m^{-7} = \frac{3}{m^{7}} \]

Final Answer