Exponent Rules

Questions and Answers

What does the Product Rule state?

Keep the base and subtract the exponents.

Keep the base and add the exponents. (correct)

Multiply the bases and keep the exponents.

Change the base to zero.

What does the Quotient Rule describe?

Keep the base and add the exponents.

Change the base to one.

Keep the base and subtract the smaller exponents from the larger exponents. (correct)

Multiply the bases and keep the exponents.

According to the Power Rule, what happens when raising a power to a power?

Subtract the exponents.

Change the base to zero.

Keep the base and add the exponents.

Keep the base and multiply the exponents. (correct)

What is the Group of Factors rule?

Use the same rule as the Power Rule on each factor in the group. Signup and view all the answers

What is the Power Rule for Quotients?

Apply the power rule to both the numerator and denominator. Signup and view all the answers

What do Negative Exponents tell you to do?

Use the reciprocal. Signup and view all the answers

What does factoring mean in mathematics?

Breaking up numbers that can be multiplied together to get the original number. Signup and view all the answers

What are radicals?

An expression that has a square root, cube root, etc. Signup and view all the answers

What is a perfect square?

A number made by squaring a whole number. Signup and view all the answers

What is the Difference of Squares?

Two terms that are squared and separated by a subtraction sign. Signup and view all the answers

Study Notes

Product Rule: In multiplication involving the same bases, retain the base and add the exponents.
Quotient Rule: In division with the same bases, keep the base and subtract the smaller exponent from the larger one.
Power Rule: When a power is raised to another power, maintain the base and multiply the exponents.
Group of Factors: Apply the power rule to each individual factor within a group.

Specific Power Rules

Power Rule for Quotients: When applying the power rule to fractions, it must be applied to both the numerator and denominator.
Negative Exponents: Indicates the use of the reciprocal; for example, a^-n = 1/a^n.

Fundamental Concepts

Factoring: Involves breaking down numbers into factors that, when multiplied together, produce the original number.
Radicals: Represent expressions involving roots such as square roots and cube roots.
Perfect Square: A number created by squaring an integer, e.g., 1, 4, 9.
Difference of Squares: Characterized by two squared terms separated by a subtraction, e.g., a^2 - b^2.

Description

This quiz focuses on the fundamental exponent rules used in Algebra 2, including the Product Rule, Quotient Rule, and Power Rule. Each rule is defined with clear examples to aid in understanding their application in mathematical operations.