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27 December, 01:48

What is the simplified form of (-3^3y^2) (5xy^-1) ?

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Answers (2)
  1. 27 December, 03:05
    0
    To solve this problem you must apply the proccedure shown below:

    1 - You have the following expression given in the problem above: (-3^3y^2) (5xy^-1). The negative exponent of y^-1 indicates that y must be in the denominator with positive exponent 1. Therefore, you have:

    (-27y^2) (5x) / y

    -135xy^2/y

    2 - By applying the exponents properties, you obtain:

    -135xy

    Therefore, the answer is: - 135xy
  2. 27 December, 03:06
    0
    The correct answer is - 135xy.

    Explanation:

    (-3³y²) (5xy⁻¹)

    We first evaluate - 3³:

    -3 (-3) (-3) = - 27

    This gives us - 27y² (5xy⁻¹).

    Next we multiply the coefficients: - 27 (5) = - 135. This gives us:

    -135y²xy⁻¹

    Using the commutative property, we can rewrite this to have the powers of y beside each other:

    -135xy²y⁻¹

    When multiplying powers that have the same base, we add the exponents. This gives us:

    -135xy²⁺⁻¹ = - 135xy¹ = - 135xy.
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