Multiplication Properties of Exponents

Multiplication Properties of Exponents - Transcript

Day 2 Problems 4/8/08
• Write each number in scientific notation.
1. 9,040,000,000 2. 0.00325
• Write each number in standard form.
3. 5 x 102 4. 8.97 x 10-1
• Simplify. Write the answer using scientific
notation.
5. 8(3 x 1014)

8.3 Multiplication Properties of Exponents
• Multiplying Powers with the SAME BASE.
– For every nonzero number a and integers m and n,
am • an = am+n .
• Examples:
5 4 5 4 93 3 3 3+= =g
2 9 2 9 11h h h h+= =g

Multiplying Powers
• Rewrite each expression using each base only
once.
a.
b.
c.
4 3 4 311 11 11 +=g 711=
5 2 12 2 2−g g 5 2 12 + −= 62=
2 25 5− g 2 25− += 05 1= =

Multiplying Powers in an Algebraic Expression
• Simplify each expression.
a.
b.
2 4 1 2 4x x x x + +=g g 7x=
5 22 3n n−g 5 2(2 3)( )n n−= g g
5 ( 2)6( )n + −= 36n=

Multiplying Powers in an Algebraic Expression
• Simplify each expression.
a. 4 3 2c d c−g g 4 2 3c c d −= g g
4 2 3c d+ −= g
6 3c d −=
6
3
c
d=

Multiplying Powers in an Algebraic Expression
• Simplify each expression.
b. 4 85 2 3x y xg g 8 45 3 2x x y= g g
8 4(5 2 3)( )( )x x y= g g g
1 8 430( )( )x y+=
9 430x y=

Multiplying Numbers in Scientific Notation
• Simplify (7 x 102)(4 x 105).
2 5(7 10 )(4 10 ) 2 5(7 4)(10 10 )= g g
728 10=
1 72.8 10 10=
1 72.8 10 +=
82.8 10=

More Practice!!!!
• Textbook – p. 407 – 408 #2 – 26 even.
• Homework – finish textbook problems.