# Integer Exponents

Videos and lessons to help Grade 8 students know and apply the properties of integer exponents to generate equivalent numerical expressions.
For example, 32 × 3–5 = 3–3 = 1/33 = 1/27.

Common Core: 8.EE.1

### Suggested Learning Targets

• I can explain why a zero exponent produces a value of one.
• I can explain how a number raised to an exponent of -1 is the reciprocal of that
number.
• I can explain the properties of integer exponents to generate equivalent numerical
expressions.

1. Multiplying Exponents of the same base
For example, 32 x 3-5 = 1/33 = 1/27

2. Dividing Exponents of the same base
For example, 32/ 3-1 = 1/33 = 1/27

3. Expand an exponent by another exponent
For example (22)3 = 64

Related Topics:

Common Core for Mathematics

More Math Lessons for Grade 8

Know and apply the properties of integer exponents to generate equivalent expressions (8.EE.1)
In this lesson you will learn how to represent repeated multiplication using an exponent (also called a power) by exploring a model of cell division.

Know and apply the properties of integer exponents to generate equivalent expressions (8.EE.1)
In this lesson you will learn to apply exponents to negative bases by becoming familiar with different notations.

Apply exponents to negative bases - 8.EE.1
In this lesson, you will learn how to apply exponents to negative bases.

Simplify expressions involving 0 and negative exponents (part 1) - 8.EE.1
In this lesson, you will learn how to simplify simple expressions involving 0 and negative exponents.

Simplify expressions involving 0 and negative exponents (part 2) - 8.EE.1
In this lesson, you will learn how to simplify intermediate expressions involving 0 and negative exponents.

Evaluate expressions involving exponents - 8.EE.1
In this lesson, you will learn how to evaluate expressions involving exponents.

Evaluate expressions using the definition of exponent and base - 8.EE.1
In this lesson, you will learn to use the definitions of the terms exponent and base to evaluate expressions.

Know and apply the properties of integer exponents to generate equivalent expressions (8.EE.1)
In this lesson you will learn how to raise an exponential expression to a power by noticing and generalizing a pattern.

Raise exponential expressions to powers - 8.EE.1
In this lesson, you will learn how to raise exponential expressions to powers.

Know and apply the properties of integer exponents to generate equivalent expressions (8.EE.1)
In this lesson you will learn how to multiply two or more exponential expressions by exploring and generalizing a pattern

Simplify exponential multiplication expressions - 8.EE.1
In this lesson, you will learn how to simplify expressions involving the multiplication of two or more exponential expressions.

Divide exponential expressions part 1 - 8.EE.1
In this lesson, you will learn how to divide exponential expressions.

Divide exponential expressions part 2 - 8.EE.1
In this lesson, you will learn how to divide exponential expressions when the exponent in the denominator is greater than or equal to the exponent in the numerator.