Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

Homework help please?

1. simplify -8x^2 over 24 x^4

2. simpify 15y^3 over 2x^2y divide by 8 over 10

3. simpifly49m^3 or 5m divide 14m over 25m

3 Answers

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  • 9 years ago
    Favorite Answer

    1. -1 over 3 x^2

  • ?
    Lv 7
    9 years ago

    1. Divide out the -8 and 24 first. you should get

    -x^2 / 3x^4 Now use the exponent rules for dividing exponents. When you divide the bases you SUBTRACT THE EXPONENTS. SO 2 - (4) = -2 so the exponent is -2

    you are now left with 2/3x^-2 OR better yet 2/2x^2

    2.simpify 15y^3 over 2x^2y divide by 8 over 10 When you divide by a fraction you flip the fraction and multiply.

    so

    15y^3 10 150y^3

    ------- x ---- = -------

    2x^2y 8 16y^2 y\

    At this point I'm a little confused. Should there be a "y" next to the 2x^2y part of the problem?

  • 9 years ago

    assuming expression is

    -8x^2 / 24x^4

    law of exponents; divide the bases, subtract the exponents

    (-8/24) times x^(2-4)

    -1/3 times x^-2

    law of exponents; to the power of a negative, flip fraction and make power positive

    (-1/3) times (x/1)^-2

    (-1/3) times (1/x)^2

    -1/3 times 1/x^2

    (-1)(1) / (3)(x^2)

    -1/3x^2

    can't simplify further

    assuming expression is

    15y^3 / 2x^2y DIVIDED BY 8/10

    is the same as

    15y^3 / 2x^2y TIMES 10/8

    NOTE that y^1 goes into y^3 with y^2 left over, and into y^1 with nothing left over

    15y^2 / 2x^2 TIMES 10 / 8

    NOTE that 2 goes into 2 once and into 10 five time through cross-cancelling

    15y^2 / 1x^2 TIMES 5 / 8

    (15y^2)(5) / (x^2)(8)

    75y^2 / 8x^2

    can't simplify further

    assuming expression is

    49m^3 / 5m DIVIDED BY 14m / 25m

    is the same as

    49m^3 / 5m TIMES 25m / 14m

    NOTE that m^1 goes into m^1 with nothing left over, and into m^1 with nothing left over

    49m^3 / 5m TIMES 25 / 14

    NOTE that m^1 goes into m^3 with m^2 left over, and into m^1 with nothing left over

    49m^2 / 5 TIMES 25 / 14

    NOTE that 7 goes into 49 seven times, and into 14 twice

    7m^2 / 5 TIMES 25 / 2

    NOTE that 5 goes into 5 once and into 25 five times

    7m^2 / 1 TIMES 5 / 2

    (7m^2)(5) / (1)(2)

    35m^2 / 2

    can't simplify further

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