3.1 Precalculus Practice - Rational Exponents
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Hard
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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.
2.
FLASHCARD QUESTION
Front
How do you convert a rational exponent to radical form?
Back
To convert a rational exponent a/b to radical form, write it as the b-th root of a raised to the power of a: x^(a/b) = b√(x^a).
3.
FLASHCARD QUESTION
Front
Simplify: 5^(3/2)
Back
125
4.
FLASHCARD QUESTION
Front
What is the relationship between rational exponents and roots?
Back
Rational exponents represent both powers and roots, allowing expressions to be simplified using either method.
5.
FLASHCARD QUESTION
Front
Rewrite 27^(1/3) in radical form.
Back
3√27
6.
FLASHCARD QUESTION
Front
Simplify: (16^(1/2))^2
Back
16
7.
FLASHCARD QUESTION
Front
Convert the expression 1/4 to exponential form.
Back
4^(-1) or 4^(1/4) depending on context.
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