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Laws of Exponents
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Review
• An exponent tells you how many times the base is multiplied by itself.
h5 means h∙ h∙ h∙ h∙ h
• Any number to the zero power is 1!
• Any number to the first power is itself!
exponentbase
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Product Rule
• Same base? Then add the exponentsa m ∙ a n = a m+nExamples:
k 8 ∙ k 7 =(a 4 )(a 2 ) =9x 7 x5 x =(4r 3 )(5r 6 ) =
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Quotient Rule
• Same base? Subtract the larger exponent from the smaller exponent.
• Write difference where the larger exponent was (upstairs or down)
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Quotient Rule
• Same base? Subtract the larger exponent from the smaller exponent.Examples:
![Page 6: Laws of Exponents. Review An exponent tells you how many times the base is multiplied by itself. h 5 means h∙ h∙ h∙ h∙ h Any number to the zero power](https://reader036.vdocuments.us/reader036/viewer/2022072015/56649ed55503460f94be5dd5/html5/thumbnails/6.jpg)
Power To A Power Rule
• Multiply the exponents(a m)n = a m∙nExamples:(c 6 )4 =5(m 4 )4 =
(9h)2 =
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• Multiply the exponents(a m)n = a m∙nMore Examples:(s3 q5 )2 =(2xy 4 )3 =4(5r 6 )2 =
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