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,
[tex]x^{m} \times x^{n}[/tex], since the base is the same x, we can add the powers as,
= [tex]$x^{m+n}[/tex]
If we want to divide the powers with the same base, then we have to apply the division property of the exponents as,
[tex]$ \frac{x^{m} }{x^{n}}[/tex] , since the base is the same x, we can subtract the powers as,
= [tex]$x^{m-n}[/tex]
In case x is 2 and m is 3 and 4 then the product can be written as, [tex]2^{3+4} = 2^{7}[/tex],
On dividing, m = 4 and n = 3 then we will get, [tex]$ 2^{4-3} = 2^{1} = 2[/tex]
