Chapter 7 Flashcards

Exponents and Exponential Functions

1
Q

What is a Monomial?

A

A momonial is a number, a variable, or the product of a number and one or more variables with nonnegative integer exponents

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2
Q

What to monomials not contain?

A
  1. Addition or subtraction
  2. Variables in the denominator
  3. Negative exponents
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3
Q

Monomial? -x+5

A

No: Contains addition

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4
Q

Monomial? 23abcd^2

A

Yes

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5
Q

What is y.y.y.y?

A

y^4

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6
Q

What is 3.y.x.3.y.x.?

A

9 x^2 y^3

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7
Q

Combining like terms

A

Add coefficients
Do not alter exponents

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8
Q

Multiplying monomials

A

Multiply coefficients
Add exponents

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9
Q

What is ^3(m^6)?

A

m^9

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10
Q

What is (-4rx^2t^3)(-6r^5x^2t)?

A

24r^6x^4t^4

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11
Q

Power of a Power

A

(a^m)^p=a^mp

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12
Q

Product of Powers

A

a^m . a^p= a^m+p

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13
Q

Power of a Product

A

(ab)^m=a^mb^m

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14
Q

What is -6^2?

A

-36

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15
Q

What is (-6)^2?

A

36

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16
Q

What is (n^3)^6?

A

n^18

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17
Q

What is (4x)^2?

A

16x^2

18
Q

What is (3xy^4)^2(-2y)^6

A

576x^2y^14

19
Q

Quotient of Powers

A

a^m/a^p=a^m-p

20
Q

Power of a Quotient

A

(a/b)^m=a^m/b^m

21
Q

Zero Exponent Property

A

a^0=1

22
Q

Negative Exponent Property

A

a^-n=1/a^n

23
Q

Exponent IS present in the ()

A
  1. Multiply Exponents
  2. Raise coefficient to power
24
Q

No exponent outside the ()

A
  1. Simplify the coefficients
  2. Move variables to make positive
  3. Large exponent - small exponent
  4. Put where the large exponent was
  5. Add exponents
25
Q

What is x^3y^4/x^2y?

A

xy^3

26
Q

What is (12x^6y^8/2x^5y^99)^0?

A

1: Anything to the power of zero

27
Q

Exponent outside the parenthesis

A
  1. Simplify the inner fraction
  2. Raise the numerator to the power
  3. Raise the denominator to the power
28
Q

[` Symbolizes a radical

A

OK OK OK OK

29
Q

Rational Number

A

A number that can be expressed as a fraction

30
Q

Rational Exponents

A

Are exponents expressed as fractions

31
Q

Square Root

A

b^1/2=b`7

32
Q

Cube Root

A

b^1/3=3[`b

33
Q

nth Root

A

b^1/n=n[`b

34
Q

Complex Roots

A

b^m/n=(n[`b)^m

35
Q

What is 19^1/3?

A

3[`19

36
Q

What is [`38?

A

38^1/2

37
Q

3[`64 on calculator

A

3 2nd ^ 6 4 =

38
Q

Power Property of Equality

A

If 5^x=5^3 then x=3

39
Q

What is 6^x=1296?

A

6^x=6^4
x=4

40
Q

STUDY 7.5 ON PAPER

A

EXPONENTIAL FUNCTIONS