Section 8.1

 Perfect Square: A number multiplied by itself , 9, 16, 25, 36, 47, 64, 81, 100, 121, 144…

 Exponent – tells how many times the base is multiplied by itself. *This can be a number or a variable.  Base – the number or variable that is going to be raised to a power.  Power – The term for the expression

22222 The base is 2 2 is multiplied 5 times. It is written: 2⁵ mmmm The base is m m is multiplied 4 times. It is written: m⁴ 7 The base is 7 7 is multiplied 1 time. It is written: 7 ˈ

⁷ xxx x³ ˈ

(2)(2)(2)(-5)(-5) (2)³(-5)² or 2³(-5)² *You must use parenthesis for (-5)! (-1)(-1)(-1)(-1)(3)(3) (-1)⁴(3)² *You must use parenthesis for (-1)! ²3³5 *Put in numerical order by bases!

10² 1010 b³ bbb x⁴y⁵ xxxxyyyyy 5a²b³ 5aabbb

222 2³ yyyy y⁴ 5aabba 5a³b² *Always list numbers first and then letters alphabetically!

 PEMDAS ◦ Parenthesis first! ◦ Evaluate all powers (exponents) from left to right ◦ Multiplication/Division from left to right ◦ Addition/Subtraction from left to right 25³ means 2555=250 (25)³ means (25)(25)(25)=1000

4m³ 4mmm If m=2 evaluate the exp. 4m³ 4(2)³ = PEMDAS! 4(222) 4(8) 32

-2(x³+1) -2[(xxx)+1] Now, x = -3 -2[(-3-3-3)+1] -2[(-27)+1] -2(-26) 52 3x+y² if x = -2, & y = -3 3(-2)+(-3)² 3(-2)+(9)

Evaluate the Expression 3a³ if a = -2 3(-2) ³ 3(-2-2-2) 3(-8) -24 Evaluate the Expression If m = 4, & n = 2 -5(m+n)² **Think PEMDAS -5(4+2) ² -5(6) ² -5(36) -180

Which is bigger? 5² 2⁵ 55= = 1024 Write each expression using exponents: 9999aaaaa3 9⁴a⁵3ˈ

Write each power as a multiplication expression: 12⁴x⁵m⁴n³ xxxxx mmmmnnn Evaluate the Expression if a = 3, b = -2, & c = 4 c³2a⁴3a²b 4442(3)⁴ 3(3) ²(-2) 642(81)3(9)(-2)

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