Grade Distribution A B C D F No Show 100+ Range Avg 12/3/2018 5:23 AM

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Presentation transcript:

Grade Distribution A B C D F No Show 100+ Range Avg 12/3/2018 5:23 AM 8.1 - Exponents

12/3/2018 5:23 AM 8.1 - Exponents

Properties of Exponents Section 8.1 12/3/2018 5:23 AM 8.1 - Exponents

Definitions EXPONENT BASE Base: The term/variable of which is being raised upon Exponent: The term/variable is raised by a term. AKA Power EXPONENT BASE 12/3/2018 5:23 AM 8.1 - Exponents

Definitions 12/3/2018 5:23 AM 8.1 - Exponents

Properties of Exponents Product of a Power: Power of a Power: Power of a Product: Zero Power Property: Identity Property: 12/3/2018 5:23 AM 8.1 - Exponents

If the BASES are the same, ADD the powers Product of a Power Saying goes: BASE, BASE, ADD If the BASES are the same, ADD the powers What is/are the base(s) and power(s)? 12/3/2018 5:23 AM 8.1 - Exponents

Example 1 Solve 24 • 25 12/3/2018 5:23 AM 8.1 - Exponents

Example 2 Solve 9 • 98 • 92 12/3/2018 5:23 AM 8.1 - Exponents

Example 3 Solve (–5)(–5)6 12/3/2018 5:23 AM 8.1 - Exponents

Your Turn Simplify x • x6 • x2 12/3/2018 5:23 AM 8.1 - Exponents

Power of a Power Saying goes: POWER, POWER, MULTIPLY If the POWERS are near each other, MULTIPLY the powers – usually deals with PARENTHESES What are the base(s) and the power(s)? 12/3/2018 5:23 AM 8.1 - Exponents

Example 4 Solve (23)4 Power, Multiply 12/3/2018 5:23 AM 8.1 - Exponents

Example 5 Simplify (x2)3 12/3/2018 5:23 AM 8.1 - Exponents

Your Turn Solve [(–2)5]3 12/3/2018 5:23 AM 8.1 - Exponents

Power of a Product DISTRIBUTE THE POWER TO THE BASES What is/are the base(s) and the power(s)? 12/3/2018 5:23 AM 8.1 - Exponents

How many bases does this problem have? Example 6 Simplify (3x)4 How many bases does this problem have? 12/3/2018 5:23 AM 8.1 - Exponents

Example 7 Simplify (3x2)4 12/3/2018 5:23 AM 8.1 - Exponents

Example 8 Simplify (–4x)2 12/3/2018 5:23 AM 8.1 - Exponents

Your Turn Simplify –(4x3)2 12/3/2018 5:23 AM 8.1 - Exponents

How many bases does this problem have? Example 9 Simplify (3x3)2 • x4 How many bases does this problem have? 12/3/2018 5:23 AM 8.1 - Exponents

Your Turn Simplify (3x5)3 (2x7)2 12/3/2018 5:23 AM 8.1 - Exponents

Zero & Identity Power Property Any base raised to the zero power, besides zero, will always equal to one. Any bas raised to the first power, besides zero, will always equal to the base. 12/3/2018 5:23 AM 8.1 - Exponents

Example 10 Simplify 30 12/3/2018 5:23 AM 8.1 - Exponents

Example 11 Simplify x1 12/3/2018 5:23 AM 8.1 - Exponents

Your Turn Solve –30 12/3/2018 5:23 AM 8.1 - Exponents

Assignment Worksheet 12/3/2018 5:23 AM 8.1 - Exponents