What is the Quotient Rule of Integer Exponents?(1 point)
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 plus b power
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
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
xaxb=xab
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 b power
The correct answer is:
x^a / x^b = x^(a-b)
wrong
Simplify x675x453
.(1 point)
The Quotient Rule of Integer Exponents states that when dividing two numbers with the same base, you can subtract the exponents. In other words, if you have x^a / x^b (where a and b are integers), it is equal to x^(a-b).
The correct answer is:
x^a / x^b = x^(a - b)
To understand why this is the Quotient Rule of Integer Exponents, let's break it down:
When you have variables with exponents divided by each other, x^a / x^b, you can simplify it using the Quotient Rule of Exponents. According to the Quotient Rule, when you divide two variables with the same base, you subtract their exponents.
So, in this case, you have x^a as the numerator and x^b as the denominator. By applying the Quotient Rule, you subtract b from a, resulting in x^(a - b).
Therefore, x^a / x^b simplifies to x^(a - b).
To simplify the expression x^675 * x^453, we can use the product rule of exponents which states that x^a * x^b = x^(a+b).
Applying this rule, we can simplify the expression as:
x^675 * x^453 = x^(675+453) = x^1128
Apologies for the mistake. To simplify x^675 * x^453, we can use the product rule of exponents which states that x^a * x^b = x^(a+b).
Applying this rule, we can simplify the expression as:
x^675 * x^453 = x^(675+453) = x^1128