Exponents Slide 2 What number is being multiplied over and over
again? 5 5 5 How many times is 5 used as a factor? Slide 3 The base
is the number being multiplied. The exponent is the number of times
the number is a factor. 5 5 5 5 5 5 = 5 6 Identify the base and the
exponent in 5 6. Slide 4 Multiplying Powers with the Same Base To
multiply powers with the same base, add the exponents. 5 4 5 2 = 5
(4 + 2) = 5 6 5 5 5 5 5 5 = 5 6 Slide 5 Dividing Powers with the
Same Base To divide powers with the same base, subtract the
exponents. 5 5 5 5656 5 6 5 4 = == 52= 52 5 5 5454 Case 1 result
has a positive exponent 5 6 5 4 = 5 (6 4) = 5 2 Slide 6 Dividing
Powers with the Same Base To divide powers with the same base,
subtract the exponents. Case 2 result has a negative exponent 5 4 5
6 = 5 (4 6) = 5 2 5 5 5 5454 5 4 5 6 = == 5 2 5 5 5656 1 5252 =
Slide 7 Dividing Powers with the Same Base To divide powers with
the same base, subtract the exponents. Case 3 result has an
exponent of 0 5 4 5 4 = 5 (4 4) = 5 0 = 1 5 5 5454 5 4 5 4 = = 5 5
5454 = 1 Slide 8 Power to a Power To raise a power to a power,
multiply the exponents. (5 4 ) 2 = (5 5 5 5)(5 5 5 5) = 5 8 (5 4 )
2 = 5 (4 2) = 5 8 Slide 9 Product to a Power To raise a product to
a power, raise each factor to the power and then multiply. Or, you
can find the product first, and then raise to the power. (4 6) 2 =
4 2 6 2 = 16 36 = 576 (4 6) 2 = 24 2 = 24 24 = 576 Slide 10
Quotient to a Power To raise a quotient to a power, raise the
numerator and denominator to the power and then divide. 22 2 2w 2 x
y3y3 4 = 2 4 w (2 x 4) x (4) y (3x4) = 16w 8 x 4 y 12 Slide 11
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