Rational Exponents

Flashcard
•
Mathematics
•
10th - 11th Grade
•
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 can be expressed as a fraction, where the numerator represents the power and the denominator represents the root. For example, x^(m/n) means the nth root of x raised to the m power.
2.
FLASHCARD QUESTION
Front
How do you convert a radical expression to a rational exponent?
Back
To convert a radical expression to a rational exponent, express the root as a denominator and the power as a numerator. For example, √[n]{x^m} can be written as x^(m/n).
3.
FLASHCARD QUESTION
Front
What is the relationship between rational exponents and radicals?
Back
Rational exponents and radicals are two ways to express the same mathematical concept. For example, x^(1/n) is equivalent to √[n]{x}.
4.
FLASHCARD QUESTION
Front
Convert the expression √[5]{x^3} to a rational exponent.
Back
x^(3/5) is the rational exponent form of √[5]{x^3}.
5.
FLASHCARD QUESTION
Front
What is the rational exponent for x^6 when expressed as a radical?
Back
The radical form of x^6 is √[2]{x^{12}}.
6.
FLASHCARD QUESTION
Front
How do you express x^(1/10) as a radical?
Back
x^(1/10) can be expressed as √[10]{x}.
7.
FLASHCARD QUESTION
Front
What is the rational exponent for √[4]{x^{28}}?
Back
The rational exponent for √[4]{x^{28}} is x^(28/4) or x^7.
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