Exponential Functions and Laws of Exponents

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These flashcards cover key concepts and laws related to exponential functions as outlined in the lecture notes.

Last updated 8:31 PM on 4/6/25
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10 Terms

1
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What is the result of multiplying two numbers with the same base, a^m * a^n?

a^(m+n)

2
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What is the result of dividing two numbers with the same base, a^m / a^n?

a^(m-n)

3
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What is the result when raising a power to another power, (a^m)^n?

a^(m*n)

4
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What is the power of a product, (ab)^n?

a^n * b^n

5
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What is the power of a quotient, (a/b)^n?

a^n / b^n

6
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What is the value of n if 8^3 = 2^n?

n = 9

7
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How do you express x^0?

x^0 = 1, for x ≠ 0

8
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What is the expression for (xy)^3?

x^3 * y^3

9
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What is the expression for 3x^4y^5 / (xy^3)?

3x^3y^2

10
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What is the simplified form of (4x)^3?

64x^3

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