Applying properties for power with the same base

Multiplication and division property of exponents.

Step-by-step explanation:

If we want to multiply the powers which is having the same base. Then we have to apply the Multiplication property of the exponents as,

, since the base is the same x, we can add the powers as,

=

If we want to divide the powers with the same base, then we have to apply the division property of the exponents as,

,  since the base is the same x, we can subtract the powers as,

=

In case x is 2 and m is 3 and 4 then the product can be written as, ,

On dividing, m = 4 and n = 3 then we will get,

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation: