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 minus b 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
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=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
The correct answer is:
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.
Simplify x675x453
.(1 point)
To simplify the expression x^675 * x^453, we need to use the Product Rule of Exponents, which states that:
x^a * x^b = x^(a + b)
Therefore, we can simplify the expression as:
x^675 * x^453 = x^(675 + 453) = x^1128
What is the missing exponent in the following equation?
e?e65 = e38
(1 point)
The missing exponent in the equation e?e65 = e38 is 27.
The Quotient Rule of Integer Exponents is:
x^a / x^b = x^(a - b)
This means that when you divide two powers of x with the same base, you subtract the exponents.
The correct answer is:
x^a / x^b = x^(a - b)
The Quotient Rule of Integer Exponents states that when you have a fraction with numerator x raised to the power of a and denominator x raised to the power of b, it is equal to x raised to the power of a minus b.
To understand why this is the case, we can break it down step by step:
1. Start with x^a / x^b: This expression represents a fraction with the numerator being x raised to the power of a and the denominator being x raised to the power of b.
2. Simplify the expression using the properties of exponents: When dividing two terms with the same base (in this case, x), you subtract the exponents. So, x^a / x^b can be rewritten as x^(a - b).
Therefore, the correct answer is x^(a - b).