Algebra Flashcards

1
Q

a^n x a^m =

A

a^n+m

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2
Q

a^n / a^m=

A

a^n-m

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3
Q

(a^n)^m=

A

a^nm

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4
Q

a^-n=

A

1/a^n

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5
Q

a^0=

A

1

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6
Q

log a n = x in exo form

A

a^x = n

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7
Q

lnxy=

A

lnx + ln y

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8
Q

ln(x/y)

A

ln x - ln y

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9
Q

ln x^k

A

k ln x

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10
Q

ln (1/x)

A

-ln x

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11
Q

ln e

A

1

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12
Q

ln 1

A

0

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13
Q

if f(a) = 0 then the factor is

A

(x-a) and vice versa

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14
Q

timsing or dividing by negative in ineuquaties

A

flips < to >

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15
Q

partial fractins (..)/(x+a)^2(x+b) =

A

A/(x+a) + B/(x+a)^2 + C/(x+b)

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16
Q

a^(1/n)=

A

nth root of a