Converting Rational to Radical
Flashcard
•
Mathematics
•
9th - 12th 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 expressed as a fraction, where the numerator indicates the power and the denominator indicates the root. For example, x^(1/n) is the nth root of x.
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, √x can be written as x^(1/2).
3.
FLASHCARD QUESTION
Front
What is the radicand in a radical expression?
Back
The radicand is the number or expression under the radical sign. For example, in √9, the radicand is 9.
4.
FLASHCARD QUESTION
Front
What is the root index in a radical expression?
Back
The root index is the number that indicates which root is being taken. For example, in the square root √x, the root index is 2.
5.
FLASHCARD QUESTION
Front
Convert 7^(1/2) to radical form.
Back
7^(1/2) can be expressed as √7.
6.
FLASHCARD QUESTION
Front
What is the relationship between rational exponents and roots?
Back
Rational exponents represent roots; the denominator of the exponent indicates the root, while the numerator indicates the power. For example, x^(m/n) = n√(x^m).
7.
FLASHCARD QUESTION
Front
How do you express (xy)^(11/4) in radical form?
Back
(xy)^(11/4) can be expressed as the fourth root of (xy)^11, or 4√((xy)^11).
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