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Unit 7 – Exponents

Topic: Exponential Properties & Scientific Notation

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When is an exponential expression considered simplified?

• No negative exponents.• All bases/coefficients have been completely

reduced.• No powers raised to powers.• No products or quotients raised to powers.

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Writing Powers of 10 in Regular Notation

• Positive Exponents– Start w/ 1 and move decimal n places right (value increases,

number of 0s = exponent value).

• Negative Exponents– Start w/ 1 and move decimal n places left (value decreases,

number of decimal places = exponent value).

000,000,1106

00001.010 5

)10( n

)10( n

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Scientific Notation• Using powers of 10 to represent very large or very

small values.– General format:

– If number in regular notation > 1, x is positive.– If number in regular notation < 1, x is negative.

101 N

xN 10integer negativeor positive x

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Homework• Handout from class

– DUE next class• Quest: Exponential Properties & Scientific

Notation– DUE Friday, 2/10