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    1. Simplify the following expression, and rewrite it in an equivalent form with positive exponents
    (12x^7y^9)/(36xy^7

    2. Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression.
    (-3x^6y)^3

    3. Simply the following expression, and rewrite it in an equivalent form with positive exponents.
    (-6x^-5)^(-2)

    4. Add the polynomials, and simply the resulting expression
    (-4x^2 -9x -8) + (-10x^2+5x-6)

    5. Multiply the expressions, and simplify.
    (-10x^-5y^-2) ? (-9x^-4y)

    6. Short Answer: Convert this number to scientific notation:
    496,700,000

    7. Use scientific notation to divide the following two numbers. Express the answer using scientific notation; retain at least three decimal places.
    8.16*10^5 / 1.03*10^2

    8. Add the complex expressions, and simplify.
    (1.9 - 7i) + (4.2 - 2.3i)

    9. Short Answer: Simplify the following expression; express in terms of i
    Sqrt(-36)

    10. Simplify the following expression.

    Sqrt(-24)sqrt(-81)

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    https://brainmass.com/math/basic-algebra/basic-algebraic-expressions-348171

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    1. Simplify the following expression, and rewrite it in an equivalent form with positive exponents
    12x^7y9/36 xy^7
    =(12/36)* x(7-1)* y(9-7)
    =(1/3)* x6 y2
    = (x6 y2)/3

    2. Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression.

    (-3x^6y)^3
    =(-3)^(1*3)x^(6*3) y(1*3)
    =-27 x^18 ...

    Solution Summary

    There are 10 problems. Each problem is solved by using basic algebra techniques.

    $2.49

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