Rational Exponents Answers
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1
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A student simplified the rational expression using the steps shown.Is the answer correct? Explain.
Answer:
The answer is not correct. In the second step, the student divided the exponents (6/5 divided by 2/5 = 3) instead of using the quotient of powers property, which requires subtracting the exponents (6/5 - 2/5 = 4/5). The expression within the parentheses should have been x to the 4/5 power. Applying the outer exponent of 1/2, the correct simplified form is x to the 2/5 power.
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Select all of the following that you included in your answer.
A
The answer is not correct.B
The student did not use the quotient of powers property correctly.C
The student divided the exponents within the parentheses instead of subtracting.D
The correct simplified form is x to the two-fifths power.Did you find these answers helpful?
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