1-2 Exponents

53 = 5 5 5= 125

Exponent (power)- the number of times the base is used as a factor

Base - The number used as a factor

Zero power - Any nonzero number raised to the zero power is always one (60 = 1)

First power- Any number raised to the first power will always equal itself ( 81 = 8)

Special Powers

80 = __________

100 = __________

2000 = _________

71 = __________

91 = __________

1001 = _________

Write the product using an exponent.

1.) 4 4 4 2.) b b b b b

Write the power in words and as repeated multiplication. Then evaluate the power.

3.) 53 4.) 36

Evaluate the expression when x= 8 and x = 0.3

5.) x3  6.) x4

1-3 Solve this Problem

35- 20 5 23 + 8 =

When we have many operations we must follow the correct order of operations.

P (Please) Parentheses (grouping symbols)

E (Excuse) Exponents

M (My) Multiply and D (Dear) Divide

LEFT TO RIGHT ORDER

A (Aunt) Add and S (Sally) Subtract_

LEFT TO RIGHT ORDER

Order of Operations

Another way to remember this is the mnemonic device

PEMDAS.

1.) 3 + 144 12 =    2.) 27 - 18 = 

3.) (2 = 4.) 2(6+4)

5.) 72 + 2(8 1)   6.) 6 + 22 2 4 x 2   

7.) [(10+2) 4]3  8.) (7 - 2)2 + 34   

9.) 6 + 3  10.) 3

11.) 3 • 5 – 8 4 + 6 12.) 10 [ 9 – ( 2 2) ]

133 + 7

12 + 3 5