Properties of Exponents Flashcards

1
Q

x^3 • x^2

A

x^5; product of powers

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2
Q

m^3 • m • m^5

A

m^9; product of powers

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3
Q

(x^2)y•xy^5

A

(x^3)y^6; product of powers

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4
Q

2^5•3^3•2^9•3^4•2

A

(2^15)3^7; product of powers

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5
Q

(x^3)^4

A

x^12; power of a power

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6
Q

(p^2)^3

A

p^6; power of powers

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7
Q

(5^12)^100

A

5^1200; power of a power

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8
Q

[(-2)^3]^5

A

(-2)^-15; power of a power

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9
Q

(2•3)^2

A

(2^2)3^2; power of a product

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10
Q

(3abc)^4

A

(3^4);a^4)(b^4)(c^4); power of a product

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11
Q

any # (except zero) raised to the zero power equals one

A

zero exponent property

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12
Q

a^-n= 1/(a^n)

A

negative exponent property

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13
Q

x^5/x^3

A

x^2; quotient of powers

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14
Q

5^1000/5^993

A

5^7; quotient of powers

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15
Q

m^4/m^7

A

m^-4 or 1/m^4; quotient of powers

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16
Q

(2/3)^4

A

2^4/3^4; power of a quotient

17
Q

(2/x^2)^3

A

8/x^6; power do a quotient