Laws of Exponents Flashcards

1
Q

x^0

A

1

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2
Q

x^1

A

x

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3
Q

a^m * a^n

A

a^(m+n)

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4
Q

a^m / a^n

A

a^(m-n)

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5
Q

a^-m

A

1/a^m

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6
Q

(a^m)^n

A

a^(m*n)

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7
Q

(ab)^m

A

a^m*b^m

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8
Q

(a/b)^m

A

(a^m)/(b^m)

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9
Q

a^(m/n)

A

nāˆš(a^m)

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10
Q

Exponential growth model

A

Y(t)=Y_0(1+r)^t

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11
Q

Exponential decay model

A

Y(t)=Y_0(1-r)^t

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12
Q

Exponential half-life model

A

A(t)=A_0(1/2)^(t/(half life value))

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