Exponents

Flashcard
•
Mathematics
•
7th - 11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponent?
Back
An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times (2 × 2 × 2 = 8).
2.
FLASHCARD QUESTION
Front
What is the product of powers property?
Back
The product of powers property states that when multiplying two powers with the same base, you add the exponents. For example, x^a * x^b = x^(a+b).
3.
FLASHCARD QUESTION
Front
What is the power of a power property?
Back
The power of a power property states that when raising a power to another power, you multiply the exponents. For example, (x^a)^b = x^(a*b).
4.
FLASHCARD QUESTION
Front
What is the power of a product property?
Back
The power of a product property states that when raising a product to a power, you can distribute the exponent to each factor. For example, (xy)^a = x^a * y^a.
5.
FLASHCARD QUESTION
Front
What is the zero exponent rule?
Back
The zero exponent rule states that any non-zero base raised to the power of zero equals one. For example, x^0 = 1 (where x ≠ 0).
6.
FLASHCARD QUESTION
Front
What is the negative exponent rule?
Back
The negative exponent rule states that a negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, x^(-a) = 1/(x^a).
7.
FLASHCARD QUESTION
Front
Expand (yz^4)(-y^7z^2)
Back
The expansion results in -y^8z^6.
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