Algebra I – Chapter 4

4.3 Multiplying Monomials4.4 Powers of Monomials

Rule of Exponents for Products of Powers

• For all positive integers m and n:

• To multiply two powers having the same base, you add the exponents

nmnm aaa

Examples:

nnn 32

)4)(3( 243 zyzy

2x

x

3x

3x

Find the area and the perimeter of the polygon

Rule of Exponents for a Power of a Power

• For all positive integers m and n:

• To find a power of a power, you multiply the exponents

mnnm aa

Rule of Exponents for a Power of a Product

• For every positive integer m :

• To find the power of a product, you find the power of each factor and then multiply

mmm baab

Examples:

3435 qp

xyyx 2332

Tonight’s Homework:

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