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Evaluating Exponents with Negative Bases 1. (–4)2 (–4)•(–4) 16 Since the negative sign is inside the parenthesis, keep it with the “4” when you multiply. 2. – (4)2 –(4)•(4) –( 16 ) –16 Since the negative sign is outside the parenthesis, leave it alone until the end. Multiply 4•4... Then, add the negative sign. ODD EXPONENTS 3) –(3)3 4) (–3)3 5) –(2)5 6) (–2)5 7) –(1)7 8) (–7)1 –(3)•(3)•(3) (–3)•(–3)•(–3) –(2)•(2)•(2)•(2)•(2) (–2)•(–2)•(–2)•(–2)•(–2) –(1)•(1)•(1)•(1)•(1)•(1)•(1) (–7) –(27) or –27 –27 –(32) or –32 –32 –(1) or –1 –7 EVEN EXPONENTS 9) –(3)2 10) (–3)2 11) –(2)4 12) (–2)4 13) –(1)6 14) (–7)2 –(3)•(3) (–3)•(–3) –(2)•(2)•(2)•(2) (–2)•(–2)•(–2)•(–2) –(1)•(1)•(1)•(1)•(1)•(1) (–7)•(–7) –(9)or –9 9 –(16) or –16 16 –(1) or –1 49

Evaluating Exponents to the Zero Power, x0 1. 40 Everything to the zero power is 1. 40 = 1 Since the negative sign is inside the parenthesis (–), take the whole thing, –4, to the zero power. Everything, even negative integers, to the zero power is 1. 2. (–4)0 (–4)0 = 1 3. –(4)0 Since the negative sign is outside the parenthesis, leave the negative sign alone. Only take 4 to the zero power. At the end, add the negative sign. –(40) –(1) –1 4. –(3.6)0 5. (–7)0 6. 610 7 . –20 8. (–10)0 –(3.6)0 = –1 (–7)0 = 1 610 = 1 –(2)0 = –1 (–10)0 = 1

Understanding Exponents Evaluating Exponents A plant grows when its cells divide into pairs, as shown below. What is another way to write the number of cells after the fourth division? After the fourth cell division described above, there are 2 • 2 • 2 • 2 cells. = 24 The power of “4” is called the exponent. There are 24 cells after the fourth cell division. 2 • 2 • 2 • 2 The “2” is called the base. Evaluating Exponents

Understanding Exponents Evaluating Exponents

1. 6–3 Writing Negative Exponents as Fractions 63 = 6•6•6 = 216 1. 6–3 To evaluate a negative exponent, look at this pattern. 63 = 6•6•6 = 216 62 = 6•6 = 36 61 = 6 = 6 ÷ 6 What’s another way to get from 216 --> 36 ? Divide by 6. So, if you decrease the exponent by 1, divide by 6. Do you notice a shortcut for finding the value of negative exponents? 60 = 6 ÷ 6 = 1 6–1 = 1 ÷ 6 = 6–2 = ÷ = 6–3 = ÷ 6 = If 62 = 36 .. and 6-2 = 1 . 36 Remember: 1. KEEP 2. CHANGE 3. FLIP ... then, what’s the value of... If 63 = 216, ..

Writing Negative Exponents as Fractions Evaluate each exponent term

Writing Negative Exponents as Decimals there it is