11 Properties of Exponents - Mt. San Antonio College

Properties of Exponents An exponent (also called power or degree) tells us how many times the base will be multiplied by itself. For example , the exponent is 5 and the base is . This means that the variable will be multiplied by itself 5 times. You can also think of this as to the fifth power. Below is a list of properties of exponents:

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More Properties of Exponents

More Properties of Exponents Date_____ Period____ Simplify. Your answer should contain only positive exponents. 1) (x−2x−3) 4 1 x20 2) (x4) −3 ⋅ 2x4 2 x8 3) (n3) 3 ⋅ 2n−1 2n8 4) (2v)2 ⋅ 2v2 8v4 5) 2x2 y4 ⋅ 4x2 y4 ⋅ 3x 3x−3 y2 8x8y6 6) 2y3 ⋅ 3xy3 3x2 y4 2y2 x 7) x3 y3 ⋅ x3 4x2 x4y3 4 8) 3x2 y2 2x−1 ⋅ …

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Laws of Exponents - California State University, Northridge

PRIMARY CONTENT MODULE I NUMBER SENSE: Exponents/Powers and Roots T-10 © 1999, CISC: Curriculum and Instruction Steering Committee The WINNING EQUATION

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What is a logarithm?

• The point starts to emerge that logs are really shorthand for exponents. • Logs were invented to turn multiplication problems into addition problems. Lets see why. log (102) + log (103) = 5, or log (105) Copenagle, Academic Support Page 2/6 • So, clearly there’s a parallel between the rules of exponents and the rules of ...

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Practice Packet 6th Grade Math

Adding Exponents Adding exponents may seem like a duanting task at first, but once we know a few key terms, you will find that adding exponents is not so bad at all. Example: 4 x 4 = ? This equation is the same as writing, 4 = 4 = 4 x 4 x 4 x 4 x 4 = 1,024 1) 2 x 2 = ? 2) 3 x 3 = ? 3) 3 x 3 = ?

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Rules for Operations with Exponents

Negative exponents – moving the exponential factor to the denominator creates a positive exponent ! or "! # # Zero Exponents – any number or variable that has a zero exponent is always equal to 1 $ ˘ $ % ˘ % Note: These power rules assume that the variable does not equal 0 whenever it’s in the denominator or if it is raised to the zero ...

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Exponents and Division - Kuta Software LLC

Exponents and Division Date_____ Period____ Simplify. Your answer should contain only positive exponents. 1) 54 5 2) 3 33 3) 22 23 4) 24 22 5) 3r3 2r 6) 7k2 4k3 7) 10 p4 6p 8) 3b 10 b3 9) 8m3 10 m3 10) 7n3 2n5-1-©p a2q0 k1F20 AKSugt Sap FS woRf8tNw2aJr7e N bL fL LC l.3 b UA gl sl U mreifgdh utPs8 5r Pejs 8efrov me3dt. I X kMXaudse z nwXiwt2hh ...

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Exponents and Multiplication - cdn.kutasoftware.com

Exponents and Multiplication Date_____ Period____ Simplify. Your answer should contain only positive exponents. 1) 42 ⋅ 42 44 2) 4 ⋅ 42 43 3) 32 ⋅ 32 34 4) 2 ⋅ 22 ⋅ 22 25 5) 2n4 ⋅ 5n4 10 n8 6) 6r ⋅ 5r2 30 r3 7) 2n4 ⋅ 6n4 12 n8 8) 6k2 ⋅ k 6k3 9) 5b2 ⋅ 8b 40 b3 10) 4x2 ⋅ 3x 12 x3 11 ...

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EXPONENTS AND RADICALS

Exponents and Radicals Notes MODULE - 1 Algebra Mathematics Secondary Course 39 2 EXPONENTS AND RADICALS We have learnt about multiplication of two or more real numbers in the earlier lesson. You can very easily write the following 4 …

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Exponents and Chapter 13 - NCERT

EXPONENTS AND POWERS 251251251251251 a × a × b × b × b × b can be expressed as a2b4 (read as a squared into b raised to the power of 4). EXAMPLE 1 Express 256 as a power 2. SOLUTION We have 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2. So we can say that 256 = 2 8 EXAMPLE 2 Which one is greater 2 3 or 3 2? SOLUTION We have, 23 = 2 × 2 × 2 = 8 and 32 = 3 × 3 = 9. ...

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Factor out the GCF. If you can't factor it write prime Period

©q n2P0Q1J1 p zKnu2t FaY WSJoUfOtOwPa KrGeR yLBL9C k.J V oAJl Sl K MrSi8g ahSt 7s6 zrqe zsfe prmvmehdk. V y GM 8a bdZe B pw3iytRhk xI 6nvf Gi2n vibtde H pAcl4gce Fb6r faw M1W.2 Worksheet by Kuta Software LLC