Negative Exponents with variables
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponent?
Back
An exponent is a mathematical notation indicating the number of times a number (the base) is multiplied by itself.
2.
FLASHCARD QUESTION
Front
What does a negative exponent represent?
Back
A negative exponent represents the reciprocal of the base raised to the absolute value of the exponent. For example, x^{-n} = 1/x^n.
3.
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 a fraction with the base in the denominator and the exponent made positive.
4.
FLASHCARD QUESTION
Front
What is the rule for multiplying powers with the same base?
Back
When multiplying powers with the same base, add the exponents. For example, a^m * a^n = a^(m+n).
5.
FLASHCARD QUESTION
Front
What is the rule for dividing powers with the same base?
Back
When dividing powers with the same base, subtract the exponents. For example, a^m / a^n = a^(m-n).
6.
FLASHCARD QUESTION
Front
What is the zero exponent rule?
Back
Any non-zero number raised to the power of zero equals one. For example, a^0 = 1.
7.
FLASHCARD QUESTION
Front
How do you express a variable with a negative exponent in positive form?
Back
To express a variable with a negative exponent in positive form, move it to the opposite side of the fraction. For example, x^{-1} = 1/x.
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