Alg. 2: Rational Exponents
Flashcard
•
Mathematics
•
10th - 12th 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. For example, p^(2/3) means the cube root of p squared.
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
What is the value of p^(2/3) when p = 8?
Back
p^(2/3) = 8^(2/3) = (∛8)^2 = 2^2 = 4.
4.
FLASHCARD QUESTION
Front
Which expression is equivalent to (x^(2/3))^4?
Back
(x^(2/3))^4 = x^(8/3).
5.
FLASHCARD QUESTION
Front
What is the simplified form of x^(-1/2) * x^(-1/4)?
Back
x^(-1/2) * x^(-1/4) = x^(-1/2 - 1/4) = x^(-3/4) = 1/x^(3/4).
6.
FLASHCARD QUESTION
Front
How do you simplify (x^(2/3))^(2/5)?
Back
(x^(2/3))^(2/5) = x^(2/3 * 2/5) = x^(4/15).
7.
FLASHCARD QUESTION
Front
What is the relationship between x^(1/2) and √x?
Back
x^(1/2) is equivalent to √x, as the exponent 1/2 represents the square root.
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