What is an exponent?
Exponents and Exponentials

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 does the term 'exponential growth' mean?
Back
Exponential growth refers to an increase that occurs at a rate proportional to the current value, resulting in a rapid rise over time. It can be represented by the function f(x) = a * b^x, where b > 1.
3.
FLASHCARD QUESTION
Front
What does the term 'exponential decay' mean?
Back
Exponential decay refers to a decrease that occurs at a rate proportional to the current value, leading to a rapid decline over time. It can be represented by the function f(x) = a * b^x, where 0 < b < 1.
4.
FLASHCARD QUESTION
Front
What is the common ratio in a geometric sequence?
Back
The common ratio is the factor by which each term in a geometric sequence is multiplied to get the next term. It can be found by dividing any term by the previous term.
5.
FLASHCARD QUESTION
Front
Evaluate: 3^0
Back
1 (Any non-zero number raised to the power of 0 is 1.)
6.
FLASHCARD QUESTION
Front
Evaluate: 5^1
Back
5 (Any number raised to the power of 1 is the number itself.)
7.
FLASHCARD QUESTION
Front
What does the 'b' represent in the exponential function f(x) = a * b^x?
Back
The 'b' represents the base of the exponential function, which determines the rate of growth (if b > 1) or decay (if 0 < b < 1).
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