Deck 1 Flashcards
(4/5)^3 =
(4^3)/(5^3)
(4^3)(5^3) =
20^3
(5^7)(5^2) =
5^(7+2) = 5^9
(X/Y)^n =
(X^n)/(Y^n)
(X^3)^2 =
X^(2*3) = X^6
(X^7)/(X^2) =
X^(7-2) = X^5
(X^n)(X^m) =
X^(n+m)
(X^n)(Y^n) =
(XY)^n
(X^n)/(X^m) =
X^(n-m)
(X^n)^m =
X^(n*m)
A rate is…
a ratio that measures distance or work over time (Stan can type 60 words a minute = (60 words)/(1 minute)
Exponents do not have shortcuts when…
the bases are being added or subtracted: (3^3) + (3^5) DOES NOT EQUAL (3^8)
Rules of Divisibility and Multiples: 2
If the last digit of a number is even, it is a multiple of 2 (28 is divisible by 2)
Rules of Divisibility and Multiples: 3
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)
Rules of Divisibility and Multiples: 4
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)
Rules of Divisibility and Multiples: 5
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)
Rules of Divisibility and Multiples: 6
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)
Rules of Divisibility and Multiples: 9
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)
The ability to __________ and _________ expressions and equations is one of themost crucial skills on the GRE.
i. simplify ii. solve
