Use Exponent Laws to Solve x(24^-1)=4^-1

by Abdul
(Ranchi)

Question

Solve x(24^-1)=4^-1 

Answer

We can solve the equation by finding the value of x.  To do so, we can use the following exponent law:



You can see the lesson on exponent laws to learn more about this formula.

Now, by observing the highlighted parts of the equation:
We can apply the exponent law to 24^-1 as shown below:Similarly, we apply the law to 4^-1 as shown below:Hence, the original equation now becomes:Note that, to find x, we need to remove ¹/₂₄. To do so, we multiply both sides of the equation with 24. This is shown below:Finally, we have x=6.