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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics - 2
1.12 Integer Exponents

  • Exponents are a short method of showing repeated multiplication.
  • Exponents can be shown as
    x5
    x is called the base and the number 5 is called the exponent.
  • Integers are positive numbers, zero and negative numbers {........-3,-2,-1,0,1,2,3.......}
  • Expressions with integers as exponents are called Integer exponents.
    Example:
    x2 positive exponent
    x-2 negative exponent
    x0 exponent with power zero
  • Any number or variable to the power of zero is 1, when x does not equal 0.
    x can be anything (except zero), including numbers, variables, or an equation.
    x0 = 1
    50 = 1
    (x+5=2x)0 = 1
  • Any number or variable to the power of 1 gives the number.
    x1 = x
    51 = 5
  • Any number or variable to the negative power equals 1 divided by the exponent with the postive power.
    x-n = 1/xn when x does not equal 0.
    x-1 = 1/x1
    x-3 = 1/x3
    2-3 = 1/23 = 1/8
    5-3 = 1/53 = 1/125
Positive exponents Negative exponents Exponets with power zero
xn = x . x . x ......n times x-n = 1/x .x .x .......n times =1/xn x0 = 1
23 = 2 x 2 x 2 = 8 2-3 = 1/23 = 1/8 50 = 1
32 = 3 x 3 = 9 3-2 = 1/32 = 1/9 3000 = 1

Directions: Answer the following questions. Also write at least ten examples of each type of exponents.
Q 1: Find the value for the exponent: 20 =
Answer:

Q 2: Find the value for the exponent: 1140 =
Answer:

Q 3: Find the value for the exponent: 73 =
Answer:

Q 4: Find the value for the exponent: 55 =
Answer:

Q 5: Find the value for the exponent: 64 =
Answer:

Q 6: Find the value for the exponent: 2-3 =
Answer:

Q 7: Find the value for the exponent: 16 =
Answer:

Q 8: Find the value for the exponent: 44 =
Answer:

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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