AnswersPARTA - EVP PGCPS ALGEBRA 2 OC FALL2026 - 793033Negative Exponents

Negative Exponents Answers

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Simplify. Express the answers using positive exponents.

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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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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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The exponent on x is . The exponent on y is . The exponent on z is .

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Part 1:4
Part 2:14
Part 3:4
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Type "numerator" or "denominator" to complete each statement. x4 is in the . y14 is in the . z4 is in the .

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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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