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Published byRichard McCormick Modified over 6 years ago
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Objective: Learn to use powers and exponents.
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Two or more numbers that are multiplied together to form a product are called factors.
Ex. 2 × 2 × 2 × 2 = × 5 × 5 = 125 When the same factor is used, you may use an exponent.
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The exponent tells how many times the base is used as a factor
The exponent tells how many times the base is used as a factor. The common factor is called the base For example: 2× 2 × 2 × 2 = 24 exponent factors base Numbers that use exponent are also called powers.
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Example: Write each power as a product of the same factor (Or write each power in expanded form.)
75= 7 × 7 × 7 × 7 × 7 Seven is used as a factor 5 times. Your Example: 95= Example 2: 53 = Example 3: 87 =
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You can evaluate or find the value of powers by multiplying the factors.
25 = 2 × 2 × 2 ×2 × 2 = Numbers written without exponents are in standard form (or the final answer after you multiply the factors.) Examples: = = 35 =
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Powers - Words 52 43 24 Five to the second power or Five squared
Four to the third power or four cubed Two to the fourth power.
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When they ask you to write it in exponential form, you must write them using exponents.
For example: 3 × 3 × 3 × 3 = 34 9× 9 × 9 = 1 × 1 × 1× 1 × 1 = 6 × 6 × 6 × 6 =
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