Rational/Fractional Exponents

Flashcard
•
Mathematics
•
9th - 12th 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 is an integer and the denominator is a positive integer.
2.
FLASHCARD QUESTION
Front
How do you convert a rational exponent to a radical expression?
Back
To convert a rational exponent to a radical expression, 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 relationship between fractional exponents and roots?
Back
Fractional exponents represent roots; for example, x^(1/n) is equivalent to the nth root of x.
4.
FLASHCARD QUESTION
Front
What is the value of x^0 for any non-zero x?
Back
The value of x^0 is 1 for any non-zero x.
5.
FLASHCARD QUESTION
Front
How do you simplify an expression with a negative exponent?
Back
To simplify an expression with a negative exponent, rewrite it as the reciprocal: a^(-n) = 1/(a^n).
6.
FLASHCARD QUESTION
Front
What is the value of (a^m)^(1/n)?
Back
The value of (a^m)^(1/n) is a^(m/n), which means you multiply the exponents.
7.
FLASHCARD QUESTION
Front
How do you multiply expressions with the same base?
Back
To multiply expressions with the same base, add the exponents: a^m * a^n = a^(m+n).
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