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Exponents

Exponents. exponent. power. base. Warm-Up. Find the value of each expression. 1.) 5 – 1 • 3 2.) (5 – 1) • 3 3.) 4 • (3 + 2) 4.) 10 ÷ 2 – 3 5.) 10 + (2 + 4) ÷ 4. The Laws of Exponents:. #1: Exponential form: The exponent of a power indicates how many times the base multiply itself.

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Exponents

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  1. Exponents exponent power base

  2. Warm-Up • Find the value of each expression. • 1.) 5 – 1 • 3 • 2.) (5 – 1) • 3 • 3.) 4 • (3 + 2) • 4.) 10 ÷ 2 – 3 • 5.) 10 + (2 + 4) ÷ 4

  3. The Laws of Exponents: #1: Exponential form: The exponent of a power indicates how many times the base multiply itself.

  4. The Laws of Exponents: #2: Multiplicative Law of Exponents: If the bases are the same And if the operations between the bases is multiplication, then the result is the base powered by the sum of individual exponents .

  5. The Laws of Exponents: #3: Division Law of Exponents: If the bases are the same And if the operations between the bases is division, then the result is the base powered by the difference of individual exponents .

  6. The Laws of Exponents: #4: Exponential Law of Exponents: If the exponential form is powered by another exponent, then the result is the base powered by the product of individual exponents.

  7. The Laws of Exponents: #5: Product Law of Exponents: If the product of the bases is powered by the same exponent, then the result is a multiplication of individual factors of the product, each powered by the given exponent.

  8. The Laws of Exponents: #6: Quotient Law of Exponents: If the quotient of the bases is powered by the same exponent, then the result is both numerator and denominator , each powered by the given exponent.

  9. The Laws of Exponents: #7: Negative Law of Exponents: If the base is powered by the negative exponent, then the base becomes reciprocal with the positive exponent.

  10. The Laws of Exponents: #8: Zero Law of Exponents: Any base powered by zero exponent equals one

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