AnswersAdv. Algebra II S2 OriginalSimplifying Rational Expressions

Simplifying Rational Expressions Answers

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Simplify each expression.

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Simplify each expression.

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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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To simplify the expression, first simplify inside the parentheses by dividing the coefficients (20/5 = 4) and subtracting the exponents for each base (5 - (-3) = 8 for x, and 2 - 7 = -5 for y), which results in 4x^8y^-5. Next, raise the resulting expression to the -3 power by multiplying the exponents (8 * -3 = -24 and -5 * -3 = 15). Finally, rewrite the expression using positive exponents. Alternatively, you could first raise the numerator and denominator to the -3 power using the power of a power property, then divide coefficients and subtract exponents.

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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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