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:

The exponent law 1^-n = 1/(a^n)


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

Now, by observing the highlighted parts of the equation:

applying the exponent law at the highlighted portion

We can apply the exponent law to 24-1 as shown below:

24^(-1) = 1/24
Similarly, we apply the law to 4-1 as shown below:

4^(-1) = 1/4
Hence, the original equation now becomes:

x(1/24) = 1/4
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:

multiplying both sides of the equation with 24
Finally, we have x=6.


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