Exponents

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Author:
AChuppTeaches
ID:
77685
Filename:
Exponents
Updated:
2011-04-05 23:14:19
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Achuppteaches
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Description:
8th Grade CRCT Prep
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  1. Any number that can be expressed as a fraction.
    Rational Number
  2. Any positive or negative nonrepeating or nonterminating decimal that cannot be written as a fraction.
    Irrational
  3. Rational or Irrational?
    1.0005
    Rational
  4. Rational or Irrational?
    -2/5
    Rational
  5. Rational or Irrational?
    Square root of 34
    • Irrational.
    • The square root of 34 is not a perfect square.
  6. Rational or Irrational?
    3.14259....
    • Irrational
    • Does not repeat or terminate
  7. Rewrite using exponents
    11 x 11 x 11 x 11 x 11 =
    115
  8. Express with an exponent.
    16
    24 or 42
  9. Add or subtract.
    2x2 + 5x2=
    7x2
  10. Add or subtract.
    -k + 2k =
    k
  11. -7v3 + 10v3 =
    3v3
  12. (23)2=
    • 23x2 = 26
    • If a power is raised to another power, multiply the exponents together and keep the base the same.
  13. 24 x 25 =
    • 24+5 = 29
    • To multiply two expressions with the same base, add the exponents together and keep the base the same.
  14. (4a)2 =
    • 42a2 = 16a2
    • If a product in parentheses is raised to a power, then each factor is raised to the power when parentheses are eliminated.
  15. (3b2)3 =
    33b6 = 27b6
  16. What number makes the statment true?
    x5x? = x11
    x6
  17. What number makes the statement true?
    (y?)2 = y-8
    y-4
  18. Reduce the expression to simplest form.
    5x-4 =
    • 5/x4
    • Negative exponent indicate reciprocals, not negative numbers. Take the x value in the numerator, which has a negative expnent, to the denominator and change the sign.
  19. (5a)-2 =
    5-2a-2 = 1/52a2 = 1/25a2
  20. (2/3)2 =
    22/32 = 4/9

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