Question

Applying properties for power with the same base

Answer 1

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,

$x^{m} \times x^{n}$, since the base is the same x, we can add the powers as,

= $x^{m+n}$

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

$\frac{x^{m} }{x^{n}}$ ,  since the base is the same x, we can subtract the powers as,

= $x^{m-n}$

In case x is 2 and m is 3 and 4 then the product can be written as, $2^{3+4} = 2^{7}$,

On dividing, m = 4 and n = 3 then we will get, $2^{4-3} = 2^{1} = 2$