What is the Quotient Rule of Integer Exponents?(1 point)

Question

xaxb=xb−a
Responses

xaxb=xa−b
the fraction with numerator x to the A th power and denominator x to the b th power is equal to x raised to the A minus b power - no response given

xaxb=xa+b
the fraction with numerator x to the A th power and denominator x to the b th power is equal to x raised to the A plus b power - no response given

xaxb=xb−a
the fraction with numerator x to the A th power and denominator x to the b th power is equal to x raised to the b minus A power - incorrect

xaxb=xab

Answer 1

The correct statement for the Quotient Rule of Integer Exponents is:

\[ \frac{x^a}{x^b} = x^{a-b} \]

So, the response that matches this is:

the fraction with numerator x to the A th power and denominator x to the b th power is equal to x raised to the A minus b power.