Deck 1 Flashcards

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77
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(4/5)^3 =

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(4^3)/(5^3)

78
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(4^3)(5^3) =

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20^3

79
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(5^7)(5^2) =

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5^(7+2) = 5^9

80
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(X/Y)^n =

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(X^n)/(Y^n)

81
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(X^3)^2 =

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X^(2*3) = X^6

82
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(X^7)/(X^2) =

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X^(7-2) = X^5

83
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(X^n)(X^m) =

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X^(n+m)

84
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(X^n)(Y^n) =

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(XY)^n

85
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(X^n)/(X^m) =

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X^(n-m)

86
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(X^n)^m =

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X^(n*m)

87
Q

A rate is…

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a ratio that measures distance or work over time (Stan can type 60 words a minute = (60 words)/(1 minute)

88
Q

Exponents do not have shortcuts when…

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the bases are being added or subtracted: (3^3) + (3^5) DOES NOT EQUAL (3^8)

89
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Rules of Divisibility and Multiples: 2

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If the last digit of a number is even, it is a multiple of 2 (28 is divisible by 2)

90
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Rules of Divisibility and Multiples: 3

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If the sum of the digits is divisible by 3, the entire integer is a multiple of 3 (132 is divisible by 3 because 1 + 3 + 2 =6, which a multiple of 3)

91
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Rules of Divisibility and Multiples: 4

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If the last two digits are a multiple of 4, the entire number is a multiple of 4 (17232 is a multiple of 4 because 32 is a multiple of 4)

92
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Rules of Divisibility and Multiples: 5

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If the last digit ends in 0 or 5, the entire number is divisible by 5 (138490 is divisible by 5 because it ends in 0)

93
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Rules of Divisibility and Multiples: 6

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If the number is both divisible by 2 and 3, it is divisible by 6 (342 is divisible by both 2 and 3, so it is divisible by 6)

94
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Rules of Divisibility and Multiples: 9

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If the sum of the digits is divisible by 9, the entire integer is a multiple of 9 (2106 is divisible by 9 because 2 + 1 + 0 + 9 = 9, which is a multiple of 9)

95
Q

The ability to __________ and _________ expressions and equations is one of themost crucial skills on the GRE.

A

i. simplify ii. solve