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Algebra Dividing and Exponents
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Algebra Dividing and Exponents

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  • 1. Image Source: http://chrome.brainpop.com
  • 2. We first need to look at how to break numbers down intotheir lowest “Prime Factors” (eg. 2, 3, 5, 7, 11, 13, etc)The easiest way to do this is to make a “Factor Tree”,where the prime number factors end up as the outer leavesof our tree. 12 2 x 6 2 x 3 12 = 2 x 2 x 3
  • 3. 16 92 x 8 3 x 3 2 x 4 9=3x3 2 x 2 16 = 2 x 2 x 2 x 2 6We will be using Prime Factors 2 x 3for Reducing down NumberFractions in our Expressions 6=2x3
  • 4. To Divide Algebra Exponents Terms, follow these steps: Write any question as a Fraction Break Numbers into their Lowest Prime Factors Expand out fully all Powers Exponents Terms Cancel all identical Top and Bottom items Write Final Answer as a Fraction without x signs
  • 5. 12 6 Rewrite as a Fraction= 12 Write Numbers as Prime Factors 6= 2x2x3 and then cancel all identical 2x3 items in the top and bottom= 2
  • 6. 12w 6 Rewrite as a Fraction= 12w Write Numbers as Prime Factors 6 and Expand all letter Variables= 2x2x3xw and then cancel all identical 2x3 items in the top and bottom= 2w Answer = Remaining items
  • 7. 12ab 16b Rewrite as a Fraction= 12ab Write Numbers as Prime Factors 16b and Expand all letter Variables= 2x2x3xaxb and cancel all identical 2x2x2x2xb items in top and bottom= 3a Use remaining items 4 to form the answer
  • 8. 12a2b3 9ab5 Rewrite as a Fraction= 12a2b3 Write Numbers as Factors 9ab5 and Expand all Powers Terms= 2x2x3xaxaxbxbxb Cancel 3x3xaxbxbxbxbxb Items= 4a Use remaining items 3b2 to form the answer
  • 9. -2a3b2 6a4b Rewrite as a Fraction= -2a3b2 Write Numbers as Factors 6a4b and Expand Powers Terms= -2 xaxaxaxbxb Cancel Items 2x3xaxaxaxaxb but do not cancel the= -b minus sign 3a
  • 10. -eh - 8eh Rewrite as a Fraction= -eh Write Numbers as Factors -8eh and Expand all Variables= -e xh Cancel Items -2 x 2 x 2 x e x h including cancelling the minus signs= = 1 8 8 Fill empty top with a 1
  • 11. http://passyworldofmathematics.com Visit our Site for Free Mathematics PowerPoints