# Exponents

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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
2x2 + 5x2=
7x2
-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
 Author: AChuppTeaches ID: 77685 Card Set: Exponents Updated: 2011-04-06T03:14:19Z Folders: Description: 8th Grade CRCT Prep Show Answers: