Question

this property says that xa divided by xb equals xa-b

Answer 1

That is the quotient of powers property.

Answer 2

Answer: Quotient rule of division

Explanation:

In this question, a & b are the exponent of the x.

We know that division is the opposite operation of the multiplication.

Quotient rule division: We subtract the exponent (power) when we dividing the numbers with same base..

Here same base means numerator (top) and denominator (bottom) contain same number and exponent (power) of both numerator and denominator are same or different.

For example: $\frac{5x^{8}}{5x^{6}}$

Here base 5 is same and exponent are different.

It is same as 5⁸⁻⁶ = 5³ = 125

Now given that,

$\frac{x^{a}}{x^{b}}$ = $x^{a-b}$