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Exponents & Roots
| Question | Answer |
|---|---|
| keep the base, add the exponents | multiplication of like bases and exponents |
| keep the base, subtract exponents | division of like bases with exponents |
| keep the base, multiply the exponents | simplifying a power raised to another power |
| the answer to any number or variable raised to the zero power | anything raised to the zero power is ONE |
| a value that, when multiplied by itself, equals the original number | square root |
| the way numbers are GROUPED in addition or multiplication does not change the result | Associative property for (+) & (x) |
| the order of numbers in addition or multiplication does not change the result | Commutative Property for (+) & (x) |
| a number which produces a specified quantity when multiplied by itself | square root |
| numbers that CAN be written as fractions involving integers, have decimals that terminate, or repeat, and perfect squares | Rational numbers |
| numbers that CAN NOT be written as fractions involving integers, have decimals that terminate or repeat, and non-perfect squares | Irrational Numbers |
| Set of numbers that start at zero and continue in the positive direction forever. {1, 2, 3, 4, 5...} | the set of whole numbers |
| the set of numbers {... -3, -2, -1, 0, 1, 2, 3, ...} | the set of integers |
| a value that, when multiplied by itself three times, results in the original number | cube root |