Transcript Day Problems • Write each number in scientific notation. 1. 9,040,000,000 2. 0.00325 • Write each number in standard form. 3.

Day Problems
• 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
3
2 9
h
3 3  3
5
4
h h  h
2
9
9
11
Multiplying Powers
• Rewrite each expression using each base only
once.
7
4
3
4 3
a. 11 11  11
 11
b.
c.
1
2 2 2  2
5
2
2
5 5
2
5 21
2  2
5
2
6
 5 1
0
Multiplying Powers in an Algebraic Expression
• Simplify each expression.
a.
b.
1 2 4
x x  x  x
2
4
x
2
7
2n  3n  (2  3)(n  n )
5
5
5( 2)
 6(n
2
)  6n
3
Multiplying Powers in an Algebraic Expression
• Simplify each expression.
a.
c d c  c c  d
4
3
2
4
4 2
2
 c d
6 3
c d
6
c
 3
d
3
3
Multiplying Powers in an Algebraic Expression
• Simplify each expression.
b.5x  2 y
4
 3x  5 x  3 x  2 y
8
8
4
 (5  2  3)( x  x )( y )
18
4
 30( x )( y )
8
 30x y
9
4
4
Multiplying Numbers in Scientific Notation
• Simplify (7 x 102)(4 x 105).
(7 10 )(4 10 )  (7  4)(10 10 )
2
2
5
5
 28 10
1
7
 2.8 10 10
1 7
 2.8 10
7
 2.8 10
8
More Practice!!!!
• Textbook – p. 407 – 408 #2 – 26 even.
• Homework – finish textbook problems.