Exponents & Powers.

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Presentation transcript:

Exponents & Powers

Match Variable a. 5x2 – 3x + 2 2. Constant b. 5x2 – 3x + 2 3. Power 4. Base d. 34 5. Exponent e. 5x2 – 3x + 2 6. Algebraic Expression f. 5x2 – 3x + 2

Dimensions You can represent single variable terms with powers of 1, 2 or 3 using concrete materials or drawings. The degree of each term corresponds to the number of dimensions in the model. Draw diagrams with dimensions of 1, 2 and 3.

Expressed as a Single Power Multiplying Powers Multiplication Expanded Form Expressed as a Single Power (3)(32) (3)(3 x 3) 33 (32)(32) (3 x 3)(3 x 3) 34 (33)(32) (3 x 3 x 3)(3 x 3) (33)(33) (34)(33) (34)(34)

Multiplying Powers Now, simplify these … Have you noticed the pattern? (52)(54) = (22)(23)(24) = Have you noticed the pattern? Rule for Multiplying Powers – When the base is the same, ADD the exponents!

Quotient Expressed as a Single Power Dividing Powers Division Expanded Form Quotient Expressed as a Single Power 32÷3 31 34÷32 32 35÷33 36÷32 37÷34

Dividing Powers Now, simplify these … Have you noticed the pattern? 315÷39 = 210÷26 = Have you noticed the pattern? Rule for Dividing Powers – When the base is the same, SUBTRACT the exponents!

Putting it Together Use the rules to solve the following: x6(x7) x5(x3)(y2)(y5) x8÷x3 (y6÷y2)(x3÷x6)

Finish the BEDMAS Assignment Homework Pg. 89 # 5, 6, 7, 8, 9, 10, 11, 19 Finish the BEDMAS Assignment Due Tomorrow!