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Warm Up Find the product (–7) (–7) (–7) –343 81

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If a number is in exponential form, the exponent represents how many times the base is to be used as a factor. A number produced by raising a base to an exponent is called a power. Both 27 and 3 3 represent the same power. 7 Exponent Base 2

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Identify how many times 4 is a factor = 4 4 Write in exponential form. A Read (–6 3 ) as “ 6 to the 3rd power or 6 cubed”. Reading Math Identify how many times –6 is a factor. (–6) (–6) (–6) = (–6) 3 B. (–6) (–6) (–6) (–6) 2 is not the same thing as -6 2 ! (–6) 2 = = -36 Very Important Math

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Identify how many times 5 and d are used as a factor. C. 5 5 d d d d Write in exponential form. 5 5 = 5 2 d 4

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NEGATIVE EXPONENTS The reciprocal of a number is 1 divided by that number. Remember! Negative Exponents

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5 –3 Write the reciprocal; change the sign of the exponent. Evaluate. Find the product of three ’s Simplify = = =

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(–10) –3 Write the reciprocal; change the sign of the exponent. Evaluate. Find the product of three ’s. 1 –10 Simplify. 1 = – –10 –10 –10 = – = = –0.001

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The Zero Power Any number (except 0) raised to the zero power is equal to = 1

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Subtract inside the parentheses. Evaluate 5 – (6 – 4) –3 + (– 2) 0. Evaluate the exponents. 5 – (6 – 4) –3 + (–2) 0 = 5 – (2) –3 + (–2) 0 = 5 – = Add and subtract from left to right.

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Did you know? Any number raised to the first power is always equal to itself. 8 1 = 8 If a number is raised to the second power, we say it is squared. 3 2 is read as three squared. If a number is raised to the third power, we say it is cubed. 4 3 is read as four cubed. I Love Exponents!

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It’s Hip to be Square!

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Lesson Quiz: Part I Write in exponential form. 1. n n n n 2. (–8) (–8) (–8) (h) 256 –213 (–8) 3 h 3. Evaluate (–4) 4 4. Evaluate x z – y x for x = 5, y = 3, and z = 6. 4 n 5. Evaluate (2/3) -3 27/8

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5. A population of bacteria doubles in size every minute. The number of bacteria after 5 minutes is 15 2 5. How many are there after 5 minutes? Lesson Quiz: Part II 480

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