Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
Maintaining Mathematical Proficiency
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Exercise 2 Page 293

(- a)^5=(- a)* (- a)* (- a)* (- a)* (- a)

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Practice makes perfect
The expression (-2)^5, or -2 to the fifth power, can be written as the product of five -2 terms. Note that when multiplying two negative numbers, we obtain a positive number. (- a)(- a) = a* aThis means that any real negative number raised to an odd power will result in a negative result.
(-2)^5
(-2)* (-2)* (-2)* (-2) * (-2)
4*4*(-2)
16*(-2)
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Using a calculator, we can either enter (-2)^5 or -2*-2*-2*-2. Both expressions give us the same answer.