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Basic Pre-Algebra: Properties of Exponents

College-Cram.com:: College Algebra:: Basic Pre-Algebra:: Properties of Exponents
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Description: Exponents share a handful of properties regarding bases and their powers. Learn about each property and put it to the test in this interactive tutorial.
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Exponents share a handful of properties regarding bases and their powers. Learn about each property and put it to the test in this interactive tutorial.

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Exponents and Products

(For each of these concepts, see the tutorial for examples.)

Product of two powers -- Assuming "x" is a real number, multiply two values with the same base by adding the exponents.

Power of a power -- Assuming "x" is a real number, the exponent of an exponent is the same as raising the base to the product of the two exponents.

Power of a product -- Assuming "x" and "y" are real numbers, raising the product of two values to a power is the same as raising each value to that power and multiplying the result.

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Exponents and Quotients

(For each of these concepts, see the tutorial for examples.)

Power of a quotient -- Assuming "x" and "y" are real numbers, raising the quotient of two values to a power is the same as raising each value to that power and dividing the result.

Quotient of two powers --  Assume "x" is a real number and not zero. Dividing two values with the same base and two different exponents is the same as raising the base to the difference of the two exponents.

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Click one of these Keywords for more resources on the topic: algebra, base, basic pre-algebra, college algebra, exponents, power, pre-algebra

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1 Presentation Comments

  1. In the Power of a quotient section, i don't understand how 4 negative 2 power became 1/4 positive 2 and then the decimal 0.0625. Can someone explain?

    Mary Stokes on Thursday, 19 February 2009, 14:59 CST |

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