In these situations, where all the variables are to the negative 1st power (the same as being in the denominator), and there are one or more constants, one strategy is to show they to the negative 1st power, combine and isolate to one negative 1st power variable.
And finally, you need take the negative 1st power variable, to the negative 1st power. This gets rid of the negative and makes number on the other side a reciprocal.
And this is known as combining the negative to the power 1 variable signs.
\(\dfrac{5}{6m} - \dfrac{7}{12m} = 3\)What are the m intercepts to the equation below? What does that mean? Please solve by combining the negative to the power 1 x signs.
\(\dfrac{5m^{-1}}{6} - \dfrac{7m^{-1}}{12} = 3\)
\(\dfrac{1}{4}m^{-1} = 3\)
\(\dfrac{1}{4}m^{-1}(4) = 3(4)\)
\(m^{-1} = 12\)
\((m^{-1})^{-1} = (12)^{-1}\)
\(m = \dfrac{1}{12}\)
The lone m intercept is (1/12, 0). That's where the graph touches the m axis.
