Watch “Powers of 10” csu/powersof10/

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

Evaluating Exponents to the Zero Power, x Everything to the zero power is = 1 2. ( – 4) 0 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. ( – 4) 0 = 1 3. – (4) 0 40)–(40)40)–(40) ) – (1) 4. – (3.6) 0 5. ( – 7) – ( – 10) 0 – (3.6) 0 = –1( – 7) 0 = = 1 – (2) 0 = –1( – 10) 0 = 1 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. –1–1

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 cells. = 2424 There are 2 4 cells after the fourth cell division. Understanding Exponents 2 2 base The “2” is called the base. exponent The power of “4” is called the exponent. Evaluating Exponents

Understanding Exponents Evaluating Exponents

Writing Negative Exponents as Fractions 1. 6 –3 To evaluate a negative exponent, look at this pattern. 6 3 =666= =66= =6= 6 What’s another way to get from > 36 ? Divide by 6. So, if you decrease the exponent by 1, divide by =6 ÷ 6= 1 6 –1 =1 ÷ 6 = 6 –2 = ÷ = 6 –3 = ÷ 6 = ÷ 6 Do you notice a shortcut for finding the value of negative exponents? If 6 2 = 36.. If 6 2 = 36.. and 6 -2 = = then, what’s the value of... Remember: 1. KEEP 2. CHANGE 3. FLIP If 6 3 = 216,.. If 6 3 = 216,..

Evaluate each exponent term Writing Negative Exponents as Fractions

Writing Negative Exponents as Decimals there it is