AnswersINMT3 Integrated Math 3 Sem 1 26-27Solving Polynomial Equations using Technology

Simplifying Rational Expressions Answers

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Simplify. Express the answers using positive exponents.

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4

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Simplify each expression.

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Simplify each expression.

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Simplify the given expression, using only positive exponents. Then complete the statements that follow. [ (x2y3)−1 (x−2y2z)2 ] 2 , x ≠ 0, y ≠ 0, z ≠ 0. The exponent on x is . The exponent on y is . The exponent on z is .

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Blank 1:4
Blank 2:14
Blank 3:4
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Simplify the given expression, using only positive exponents. Then complete the statements that follow. [ (x2y3)−1 (x−2y2z)2 ] 2 , x ≠ 0, y ≠ 0, z ≠ 0. The exponent on x is . The exponent on y is . The exponent on z is .

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Blank 1:numerator
Blank 2:numerator
Blank 3:numerator
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Examine Tamika’s work below. What is Tamika’s error?

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She added the exponents.
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She simplified the coefficients incorrectly.
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She divided the exponents.
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She moved bases with positive exponents.
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Describe how you would simplify the given expression.

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Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the –3 power. Then, write bases with positive exponents. Equivalently, raise the numerator and denominator to the –3 power, multiply exponents using the power of a power property, divide coefficients, subtract exponents on like bases, and write with positive exponents. The simplified expression is y^15/(64x^24).

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Which did you include in your response?

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Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the –3 power. Then, write bases with positive exponents.
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Raise the numerator and denominator to the –3 power. Then, using the power of a power property, multiply the exponents. Divide the coefficients and subtract the exponents on like bases, then write with positive exponents.
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