6th Grade Math Textbook, Fundamentals

A number that is written with an exponent is called a of the base.

10 • 10 • 10  1000  103

Read 10^3 as: ten to the third power,

the third powerof ten, or

ten cubed.

Using exponents, you find that the volume of the cube is 10^3 cubic units.

power

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1-9

1 3 • 3 • 3 • 3 • 3  35 2 2 • 2 • 2 • 2 • 2 • 2 • 2 • 2  28

Think

3 is used as a factor 5 times.

base

factored form standard form exponential form

Write the exponential form for each number given in factored form.

Think

4 is used as a factor 2 times.

5 is used as a factor 3 times.

3 4(4) • 5 • 5 • 5(4)^2 • 5^34 6 • 7 • 7 • 7 61 • 7^3 or 6• 7^3

Think

7 is used as a factor 3 times.

61  6

Powers and Laws of Exponents

Objective To write the standard form for numbers that are given in exponential form

• To write the exponential form for numbers that are given in standard form• To apply the
  multiplication and division laws of exponents• To identify the value of a number to the
  zero power• To simplify expressions with exponents

The volume of the cube at the right is 10 • 10 • 10, or 1000, cubic units.

How can you express the volume of the cube using exponents?

To use exponents to express the volume of the cube,

show how many times 10 is used as a factor.

An tells you how many times a number,

called the , is used as a factor.

10 • 10 • 10  103 exponent

base

exponent

10 is used 3times as a factor.

Think

2 is used as a factor 8 times.