Laws of Exponents Flashcards

1
Q

Product rule

A

add the exponents of terms that have the same base (in multiplying)

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2
Q

4^7 * 4^3 = 4^10

A

Product Rule

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3
Q

Quotient Rule

A

subtract the exponents when dividing

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4
Q

7^4 / 7^2 = 7^2 or 49

A

Quotient Rule

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5
Q

Power of power

A

When an exponent has a power, or when there is an exponent outside a parenthesis with its term having an exponent already, MULTIPLY the exponents

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6
Q

(x^2)^6=x^12

A

power of power

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7
Q

Power of product

A

distribute the exponents

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8
Q

(ab)^2=a^2b^2

A

power of product

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9
Q

power of quotient

A

if exponent is outside a parenthesis of a division problem, distribute the exponent in the numerator and denominator

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10
Q

zero exponent

A

all expressions raised to 0 is equal to 1

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11
Q

(7x+hz+97)^0=1

A

zero exponent

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12
Q

negative exponent

A

take the reciprocal term

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13
Q

m^-2 = 1/m^2

A

negative exponent

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