Day Problems• Rewrite each expression using each base only

once.

1. 26 • 24 2. 10-6 • 105 • 101

• Simplify each expression.

3. 4.

3(15 )( 3 )a a 5 6 2(5 )(3 )(3 )x y x

8.4 More Multiplication Properties of Exponents

• For every nonzero number a and integers m and n, (am)n = amn.

• Examples:4 2 4 2 8(5 ) 5 5

2 5 2 5 10( )n n n

Simplifying a Power Raised to a Power

• Simplify 3 6( ) .x

3 6( )x 3 6x 18x

Simplifying an Expression with Powers• Simplify 5 3 2( ) .c c

5 3 2( )c c 5 3 ( 2)c c 5 6c c 5 ( 6)c 1c

1

c

Raising a Product to a Power

• For every nonzero number a and b and integer n, (ab)n = anbn.

• Examples:4 4 4 4(3 ) 3 81x x x

Simplifying a Product Raised to a Power • Simplify 2 4(2 ) .x

2 4(2 )x 4 2 42 ( )x4 82 x816x

Simplifying a Product Raised to a Power• Simplify 2 2 2 4( ) (3 ) .x xy

2 2 2 4( ) (3 )x xy 2 2 4 4 2 4( ) 3 ( )x x y 4 4 4 83x x y

4 4 4 83 x x y 4 0 83 x y

881y

More Practice!!!!

• Textbook – p. 413 – 414 #2 – 22 even.

• Homework – Workbook p. 395 #2 – 20 even.