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mikaa_toxica13

  • 3 years ago

Choose the correct simplification of the expression (3xy^4)^2(y^2)^3. 6x^2y^14 9x^2y^14 9x^3y^11 6x^3y^11

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  1. mikaa_toxica13
    • 3 years ago
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    medal and fan to best answer/explaination

  2. anonymous
    • 3 years ago
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    since \(3^2=9\) you can forget 1 and 4

  3. mikaa_toxica13
    • 3 years ago
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    im thinkin its 2

  4. anonymous
    • 3 years ago
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    \[ (3xy^4)^2(y^2)^3\] square everything first, i.e. multiply all the exponents by 2

  5. gabrielle12
    • 3 years ago
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    9x^2y^11

  6. gabrielle12
    • 3 years ago
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    you distribute the exponents outside of the parentheses to all the terms inside the parentheses

  7. anonymous
    • 3 years ago
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    then \[3^2x^4y^8\times y^6\] now add up the exponents

  8. anonymous
    • 3 years ago
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    you get \[9x^2y^{14}\]

  9. anonymous
    • 3 years ago
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    oops i made a mistake above, there is no \(x^4\) term it is \(x^2\)

  10. anonymous
    • 3 years ago
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    you are right, it is 2

  11. mikaa_toxica13
    • 3 years ago
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    thanks !!

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