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Chapter 8 Review Laws of Exponents

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LAW #1 Product law: add the exponents together when multiplying the powers with the same base. Ex: NOTE: This operation can only be done if the base is the same! SIMPLIFY THESE ON YOUR OWN:

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LAW #2 Power of a power: keep the base and multiply the exponents. Ex: NOTE: Multiply the exponents, not add them! SIMPLIFY THESE ON YOUR OWN:

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LAW #3 Power of a product: Distribute the power to each number or variable in the parentheses. Ex: NOTE: Multiply the exponents, not add them! SIMPLIFY THESE ON YOUR OWN:

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LAW #4 Zero exponent law: Any power raised to an exponent of zero equals one. Ex: SIMPLIFY THESE ON YOUR OWN:

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LAW #5 Negative exponents: To make an exponent positive, flip the base. Ex: NOTE: This does not change the sign of the base. SIMPLIFY THESE ON YOUR OWN:

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LAW #6 Quotient Property Subtract “TOP EXPONENT MINUS THE BOTTOM EXPONENT” Ex: NOTE: This operation can only be done if the base is the same! SIMPLIFY THESE ON YOUR OWN:

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LAW #7 Quotient Property Distribute the power to the top and bottom of the quotient. Ex: SIMPLIFY THESE ON YOUR OWN:

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More examples on your own: Ex 1: Ex 2: Ex 3: Ex 4: Ex 5: Ex 6: Ex 7: Ex 8:

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More examples on your own: Ex 9: Ex 10: Ex 11: Ex 12: Ex 13: Ex 14: Ex 15: Ex 16:

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More examples on your own: Ex 17: Ex 18: Ex 19: Ex 20: Ex 21: Ex 22: Ex 23: Ex 24:

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More examples on your own: Ex 25: Ex 26: Ex 27: Ex 28: Ex 29: Ex 30: Ex 31: Ex 32:

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Express each number in scientific notation: 1.) 6,3002.) 4,600,000 3.) 0.000134.) 0.000009 6.3 x 10 3 4.6 x 10 6 1.3 x 10 -4 9 x 10 -6

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Express each number in decimal form: 1.) 4.5 x 10 6 2.) 3 x 10 -4 3.) 2.36 x 10 0 4.) 9.1 x 10 -1 4,500,000 0.0003 2.36 0.91

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Perform the indicated operation. Leave your answer in scientific notation. 1.)2.) 3.)4.)

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