Converting and Evaluating Rational Exponents Practice
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a rational exponent?
Back
A rational exponent is an exponent that is a fraction, where the numerator indicates the power and the denominator indicates the root. For example, x^(1/2) is the square root of x.
2.
FLASHCARD QUESTION
Front
How do you convert a rational exponent to radical form?
Back
To convert a rational exponent to radical form, use the formula: a^(m/n) = n√(a^m), where m is the numerator and n is the denominator.
3.
FLASHCARD QUESTION
Front
Simplify: 2^(3/2)
Back
2^(3/2) = √(2^3) = √8 = 2√2.
4.
FLASHCARD QUESTION
Front
Simplify: 16^(1/4)
Back
16^(1/4) = 4, since 4^4 = 16.
5.
FLASHCARD QUESTION
Front
What is the value of 27^(2/3)?
Back
27^(2/3) = (3^3)^(2/3) = 3^2 = 9.
6.
FLASHCARD QUESTION
Front
Convert 81^(1/4) to radical form.
Back
81^(1/4) = 4√81 = 4*3 = 12.
7.
FLASHCARD QUESTION
Front
Simplify: (x^(1/2))^4
Back
(x^(1/2))^4 = x^(1/2 * 4) = x^2.
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