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4 January, 04:26

Write the expression as a monomial in its standard form:

1. (-2x^2) ^2 * (-.25x^4)

2. ((-.5) y^4) ^3 * (16y^2)

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  1. 4 January, 04:50
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    1.-x^8

    2. - 2y^14

    Step-by-step explanation:

    1. (-2x^2) ^2 * (-.25x^4)

    We can separate things inside the powers (ab) ^x = a^x * b^x

    (-2) ^2 (x^2) ^2 (-1/4) x^4

    4 x^4 - 1/4 x^4

    We can add the exponents when the bases are the same x^a * x^b = x^ (a+b)

    4 * - 1/4 x^ (4+4)

    -x^8

    2. ((-.5) y^4) ^3 * (16y^2)

    We can separate things inside the powers (ab) ^x = a^x * b^x

    (-1/2) ^3 (y^4) ^3 (16) y^2

    When a power is raised to a power, we multiply x^a^b = x^ (ab)

    -1/8 * y^ (4*3) * 16 y^2

    -1/8 * 16 y^12 * y^2

    We can add the exponents when the bases are the same x^a * x^b = x^ (a+b)

    -2 y^ (12+2)

    -2y^14
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