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Published byCamilla Watts Modified over 5 years ago

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Exponent Rules – Day 1 Zero and Negative Exponents

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Zero Exponents Anything with an exponent of zero reduces to 1. Examples:

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Negative Exponents If an exponent is negative, you can make it positive by moving it. If it is in the denominator, move it to the numerator. If it is in the numerator, move it to the denominator.

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Examples

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Simplifying Exponents Simplify each exponent

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Simplifying Exponential Expressions Simplify each expression

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Evaluating an exponential expression Do not forget to follow the order of operations (PEMDAS) Evaluate if:

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Examples Evaluate the following expressions if n = -2 and w = 5.

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Quick Check: Make sure you understand! Simplify each expression: Evaluate for x = 3, y = -2

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Homework! Practice! Study! Big Green pg. 397 (2 - 44 even)

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Exponent Rules – Day 2 Scientific Notation

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Scientific Notation Rules In the form: n is an integer a is between 1 and 10 Examples:

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Scientific Notation or not?

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Writing a number in Scientific Notation If the number is very large (>1) the exponent will be positive If the number is very small (<1) the exponent will be negative Why?

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Examples 56,900,000 0.00985

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Examples 267,000 0.0000325

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Writing a number in standard notation

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More examples

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Ordering Numbers Put the numbers in scientific notation Order the powers of 10 Arrange decimals of the same power of 10 in order Write the original numbers in order

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Examples

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Multiplying a number in scientific Notation

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Examples

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Homework! Practice! Study! Big Green pg. 402-403 (2 - 40 even)

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Exponent Rules: Day 3 Multiplication Properties of Exponents

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Multiplying Powers with the same base If the bases are the same, you can add the exponents. Examples:

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More examples

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Multiplying Powers in an expression

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More Complex Examples

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Multiplying Numbers in Scientific Notation

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More Examples

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Quick Check: Make sure you understand! Simplify:

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Homework! Practice! Study! Big Green pg. 407 – 408 (8 - 26 even) (32 - 50 even)

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Exponent Rules: Day 4 Dealing with Powers of exponents

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Raising a Power to a Power When raising an exponent to an exponent, multiply the exponents together. Example:

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More Examples

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More Complex Examples

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Raising a product to a power Apply the power rule (multiply the exponents) to each factor in the parentheses. Example:

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Examples

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More Complex Examples

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More complex examples

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Scientific Notation Examples

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More Scientific Notation Examples

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Homework! Practice! Study! Big Green pg. 413-414 (2 - 30 even) (42 – 50 even)

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Exponent Rules: Day 5 Division Properties of Exponents

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The Division Rule When dividing exponents of the same base; subtract the exponents Example:

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Examples:

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More Examples

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Scientific Notation Examples

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Raising a quotient to a power Raise everything within the parenthesis to the power! Example:

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Examples

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More Complex Examples

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All Exponent Rules Combined!

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Homework! Practice! Study! Big Green pg. 420-421 (10 - 18 even) (30 - 48 even) (52 - 58 even)

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