POWERS AND EXPONENTS

POWERS & EXPONENTSVOCABULARY

• FACTORS - numbers that are multiplied together.

• BASE - the number being used as a factor.

• EXPONENT - tells how many times a number is used as a factor.

POWERS & EXPONENTSVOCABULARY• POWER - a number that is

expressed using exponents.• SQUARED - a number that

has an exponent of 2.• CUBED - a number that has

an exponent of 3.

EXPONENT FORM

2³base

exponent

FACTOR FORM

2³ = 2 x 2 x 2

factors

STANDARD FORM

2³ = 2 x 2 x 2

84 x 2

POWERS AND EXPONENTS

Exponent Form Factor Form Standard form

4³ 4 x 4 x 4 64

7² 7 x 7 49

m5 mm m m m

Follow Order of Operations

5 + 3² - 8

5 + 3 x 3 - 8

5 + 9 - 814 - 8

6

What is the value of m² + n³, if m=4 and n =5?

4² + 5³4 x 4 + 5 x 5 x 5

16 + 5 x 5 x 516 + 25 x 516 + 125

141

CRITICAL THINKING:

10² 10 x 10 100

10³ 10 x 10 x 10 1000

Exponent

Form

Factor

Form

Standard

Form

10 x 10 x 10 x10 100004

How could you find 10 without using a calculator?

20

10

A light year is the distance light travels in one year. The Milky Way galaxy is about 100,000 light years wide. Write 100,000 as a power with 10 as the base.

10 5