+ ccm 1b unit 5 – day 2 properties of exponents. + warm up – january 24 th

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CCM 1BUnit 5 – Day 2

Properties of Exponents

+Warm Up – January 24th

+Homework Check - 5.1

+Exponent Rules Review

Exponents are a “short-hand” way of multiplying the same quantity over and over.

Example:

X4 = (x)(x)(x)(x)

+Try Some: Expand the following

43

Y4

X2y5

w6z1

+Using Exponents to simplify

Write using exponents

x*x*x*x

2*2*2*2*x*x*x*y*y

3*3*3*4*4*4*4*x

+Zero as an exponent

Anything with an exponent of zero equals 1. (Check this in your calculator)

Ex)

x0 = 1

60 =

Y0 =

+Negative Exponents

When you have a NEGATIVE exponent you turn it POSITIVE and FLIP it.

EX x-3

+Try Some

+Multiplication

When multiplying like bases you ADD exponents

Ex) x4x2

+Try some!

X3x4

Y3x4y7

z3y2x5z5y6x10

+Exponents of Exponents

When you have an exponent of an exponent you MULTIPLY

EX: (x4)3

+Try Some!

(x)5

(x2y4)5

(2x3)6

+Division

When you divide like bases you SUBTRACT exponents

+Try Some

+Growing Sequences Worksheet

+Growing Sequences

Arithmetic Sequence : goes from one term to the next by always adding (or subtracting) the same value

Common Difference : The number added (or subtracted) at each stage of an arithmetic sequence

Initial Term : Starting term

For example, find the common difference and the next term of the following sequence:

3, 11, 19, 27, 35, . . .

+Growing Sequences

Geometric Sequence: goes from one term to the next by always multiplying (or dividing) by the same value

Common Ratio: The number multiplied (or divided) at each stage of a geometric sequence

Determine the common ratio r of the Brown Tree Snake Sequence.

1, 5, 25, 125, 625, . . .

+Practice with Sequences