Exponents and Scientific Notation

1
Exponents and Scientific Notation

• Section 8.5

2
Properties for Exponents

• If a is a real number, and r and s are integers,
  then

3
Properties for Exponents

• If a is a real number, and r and s are integers,
  then

4
Properties for Exponents

• If a and b are two real numbers, and r is an
  integer, then

5
Properties for Exponents

• If a is any nonzero real number, and r is a
  positive integer, then

6
Properties for Exponents

• If a and b are two real numbers with b ? 0, and
  r is an integer, then

7
Properties for Exponents

• If a is any nonzero real number, and r and s are
  any two integers, then

8
Properties for Exponents

• If a is any real number, then

9
Properties for Exponents

• If a is any real number and a ? 0, then

10
Scientific Notation

• A number is written in scientific notation if it
  is written as the product of a number between 1
  and 10 and an integer power of 10. A number
  written in scientific notation has the form

where 1 lt n lt 10 and r is an integer.
11
Sample Problems

Write the following in scientific notation.
12
Sample Problems

Write the following in scientific notation.