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More Multiplication Properties Exponents
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More Multiplication Properties Exponents

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More Multiplication Properties Exponents More Multiplication Properties Exponents Presentation Transcript

  • More Multiplication Properties of Exponents 06/01/09 PH 8-7 Bitsy Griffin
  • Raising Powers to Powers
    • For any nonzero number a and any integers m and n,
    • (a m ) n =a mn
    • (5 4 ) 2 =5 8
    06/01/09 PH 8-7 Bitsy Griffin
  • Raising Powers to Powers
    • (2 3 ) 2
    • (h 2 ) 4
    • (3 3 ) 4
    • (x 3 ) 6
    • c 5 (c 3 ) 2
    06/01/09 PH 8-7 Bitsy Griffin
  • Raising Products to Powers
    • For any nonzero number a and b and any integer n,
    • (ab) n =a n b n
    • (5y) 3 =5 3 y 3
    • 125y 3
    06/01/09 PH 8-7 Bitsy Griffin
  • Raising Products to Powers
    • (3x) 4 =3 4 x 4 =??
    • 81x 4
    • (7c) 2 =??
    • 49c 2
    • (15z) 3 =??
    • 3375z 3
    06/01/09 PH 8-7 Bitsy Griffin
  • Raising Products to Powers
    • (2x 2 ) 4 =??
    • 2 4 (x 2 ) 4 =??
    • 16x 8
    • (4g 5 ) 2 =??
    • 4 2 (g 5 ) 2 =??
    • 16g 10
    06/01/09 PH 8-7 Bitsy Griffin
  • Raising Products to Powers
    • (x -2 ) 2 (3xy 2 ) 4 =??
    • x -4 3 4 x 4 (y 2 ) 4 =??
    • 3 4 x -4 x 4 y 8 =??
    • 81 x 0 y 8 =??
    • 81y 8
    06/01/09 PH 8-7 Bitsy Griffin
  • Raising Products to Powers
    • (6mn) 3 (5m -3 ) 4 =??
    • 6 3 m 3 n 3 5 4 (m -3 ) 4 =??
    • 6 3 ● 5 4 m 3 m -12 n 3 =??
    • 6 3 ● 5 4 m 3 -12 n 3 =??
    • (135,000 n 3 )/ m 9
    06/01/09 PH 8-7 Bitsy Griffin
  • Raising Products to Powers
    • All objects, even resting ones, contain energy. The expression 10 -3 (3x10 8 ) 2 describes the amount of resting energy a raisin contains, where 10 -3 kg is the mass of the raisin. Simplify the expression.
    06/01/09 PH 8-7 Bitsy Griffin
  • Real World Examples
    • Use your calculator to help you.
    • Remember that you may have to convert from standard to scientific notation.
    • 10 -3 (3x10 8 ) 2
    • 9x10 13
    06/01/09 PH 8-7 Bitsy Griffin