Algebraic Laws Flashcards

1
Q

an x am =

A

an+m

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2
Q

an / am =

A

an-m

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3
Q

(an)m =

A

anm

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4
Q

a-n =

A

1/an

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5
Q

a1/n =

A

n√a

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6
Q

ao =

A

1

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7
Q

logan = x

A

ax = n

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8
Q

lnxy =

A

lnx + lny

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9
Q

ln(x/y) =

A

lnx - lny

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10
Q

ln(xk) =

A

klnx

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11
Q

ln(1/x) =

A

-lnx

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12
Q

lne =

A

1

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13
Q

ln1 =

A

0

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14
Q

What is factor theorem?

A

If f(a) = 0, then (x-a) is a factor

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15
Q

What happens to inequalities when you divide by a negative?

A

they flip directions

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16
Q

Denominator in partial fractions: ( x+a )2( x+b )

A

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