Simplifying Rational Expressions

Question 1

Simplify. Express the answers using positive exponents.

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Answer image: https://media.edgenuity.com/EVresources/3111-08-02-20-01-task/mc001-2.jpg

Question 2

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Answer image: https://media.edgenuity.com/EVresources/3111-08-02-20-01-task/mc002-4.jpg

Question 3

Simplify each expression.

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mc001-2.jpg

Question 4

mc002-1.jpg

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mc002-3.jpg

Question 5

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

Question 6

Type "numerator" or "denominator" to complete each statement. x4 is in the . y14 is in the . z4 is in the .

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Part 1: numerator; Part 2: denominator; Part 3: denominator

Question 7

Examine Tamika’s work below. What is Tamika’s error?

Revolt · Accepted Answer

She added the exponents.

Question 8

Describe how you would simplify the given expression.

Revolt · Accepted Answer

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.

Simplifying Rational Expressions Answers

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