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Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

Reducing rational expressions?

How would I do this

75xy^2 z^7 / 45x^4 y^3 z^6

8 Answers

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  • 1 decade ago
    Favorite Answer

    75xy^2z^7

    -----------------

    45x^4y^3z^6

    ....5z

    =------------- answer//

    ...3x^3y

  • Anonymous
    1 decade ago

    The original expression=

    (75/45)[x^(1-4)][y^(2-3)][z^(7-6)]=

    5z/(3yx^3)

  • ?
    Lv 4
    5 years ago

    the reason being x^0 = a million (something to the capacity 0 is a million) least puzzling thank you to try this branch is to subtract the exponent values interior the denominator from the value interior the numerator for an identical base. We get x^(5-2)y^(3-3)z^(2-7) = x^3y^0z^-5 that's comparable to x^3/y^5

  • 1 decade ago

    (75xy^2z^7)/(45x^4y^3z^6)

    = (75/45)(x/x^4)(y^2/y^3)(z^7/z^6)

    = (5/3)(1/x^3)(1/y)(z)

    = 5z/(3x^3y)

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  • 1 decade ago

    75 on top, 45 on bottom --> 5/3

    x on top, x^4 on bottom --> x^3 on the bottom

    y^2 on top, y^3 on bottom --> y on the bottom

    z^7 on top, z^6 on bottom --> z on top

  • DWRead
    Lv 7
    1 decade ago

    75xy²z⁷/(45x⁴y³z⁶) = 75z⁷⁻⁶/(45x⁴⁻¹y³⁻²)

    = 5z/(3x³y)

  • 1 decade ago

    5z / 3(x^3)y

  • ?
    Lv 7
    1 decade ago

    15xy^2z^6(5z) / 15xy^2z^6(3x^3y)

    =5z / 3x^3y

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