Algebra 2 Exponents Quizs

What is the product rule for exponents?

• The product rule states that when multiplying two expressions with the same base, you add the exponents. For example, @@x^a imes x^b = x^{a+b}@@.

• The product rule states that when multiplying two expressions with different bases, you multiply the exponents.

• The product rule states that when dividing two expressions with the same base, you subtract the exponents.

• The product rule states that when raising a power to a power, you multiply the exponents.

What is the negative exponent rule?

• A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, @@x^{-a} = \frac{1}{x^a}@@.

• A negative exponent means the base is multiplied by itself a negative number of times.

• A negative exponent indicates that the base is always positive regardless of the exponent.

• A negative exponent means the base is raised to zero.

If @@f(x) = 2x^2 + 12x + 16@@, what is the average rate of change on the interval @@[-3, -2]@@?

• 0

• 1

• 2

• 3

When dividing @@2^a@@ by @@2^b@@, what do you do with the exponents?

• You add the exponents: @@2^a / 2^b = 2^{a+b}@@

• You multiply the exponents: @@2^a / 2^b = 2^{a*b}@@

• You subtract the exponents: @@2^a / 2^b = 2^{a-b}@@

• You leave the exponents unchanged: @@2^a / 2^b = 2^{a} / 2^{b}@@

What happens to the exponents when you multiply two powers with the same base?

• You subtract the exponents.

• You multiply the exponents.

• You add the exponents.

• You divide the exponents.

What is the average rate of change of a function?

• The average rate of change of a function @@f(x)@@ over an interval @@[x_1,x_2]@@ is given by @@\frac{y_2-y_1}{x_2-x_1}@@.

• The average rate of change of a function is the slope of the tangent line at a point.

• The average rate of change of a function is the difference between the maximum and minimum values of the function.

• The average rate of change of a function is calculated by taking the integral of the function over the interval.

Evaluate @@x^{\frac{2}{3}} + 11 = 15@@. What is @@x@@?

• 6

• 4

• 10

• 8

What is the quotient rule for exponents?

• The quotient rule states that when dividing two expressions with the same base, you subtract the exponents. For example, @@\frac{x^a}{x^b} = x^{a-b}@@.

• The quotient rule states that when multiplying two expressions with the same base, you add the exponents.

• The quotient rule states that when dividing two expressions with different bases, you multiply the bases and keep the exponents the same.

• The quotient rule states that when raising a power to a power, you multiply the exponents.

What is the power of a power rule?

• When raising an exponent to another exponent, you add the exponents.

• When raising an exponent to another exponent, you multiply the exponents. For example, @@ (x^a)^b = x^{a \, \cdot \, b} @@.

• When raising an exponent to another exponent, you subtract the exponents.

• When raising an exponent to another exponent, you divide the exponents.

What is an exponent?

• A number that indicates how many times to multiply the base by itself.

• A number that represents the square root of a base.

• A number that adds to the base.

• A number that divides the base into equal parts.