41Zero and Negative Exponents U6L2
May 6, 2015
ZERO AND NEGATIVE EXPONENTS
Exercise #1: We can think of powers of 2 as representing multiplication of the number 1 repeatedly.
(a) Fill in the pattern for powers that are not
negative. What does this lead you to fill in for 20 ?
(b) If positive exponents indicated multiplying the
number 1 by 2 repeatedly, then negative
exponents should indicate ______________.
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41Zero and Negative Exponents U6L2
May 6, 2015
Exercise #2: Which of the following is not equivalent to 5­2 ?
Exercise #3: If f (x) = 3x­2 + 2x0, then which of the following is the value of f (2) ? Show the work that leads to your answer. Remember, exponents always come before multiplication.
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41Zero and Negative Exponents U6L2
May 6, 2015
Exercise #4: Rewrite each expression as the product of two fractions, one of which is equal to 1. Then, write it as an equivalent, but simpler, expression.
(d) So it appears that:
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41Zero and Negative Exponents U6L2
May 6, 2015
Now we have a pattern that works quite well if the exponent in the numerator is greater than that of the denominator. But does it work if that isn’t true?
Exercise #5: Rewrite each of the following expressions two ways: first, by using the subtraction rule for exponents and then, by simplifying, as we have done previously.
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41Zero and Negative Exponents U6L2
May 6, 2015
Exercise #6: Consider the exponential function f (x) = 16(2)x . Find each of the following without your calculator.
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41Zero and Negative Exponents U6L2
May 6, 2015
ZERO AND NEGATIVE EXPONENTS
Daily Learning Outcome: I know how to simplify an expression involving zero or negative exponents.
Negative exponents indicate division and Positive exponents indicate multiplication.
https://www.youtube.com/watch?v=BSNhNY80GIk
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