Simplify, the evaluate when a = 2 and b = 5
(2b^3)^a
What is (2 x 5^3)^2 = 2^2 x 5^3x2 = 2^2 x 5^6 = 4 x 15,625 = 62,500
100
Write in expanded form and as a single power
(4d^5)^4 x (2j^3)^2
What is 4 x 4 x 4 x 4 x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x 2 x 2 x j x j x j x j x j x j
4^4d^5x4 x 2^2j^3x2 = 256d^20 x 4j^6
100
You and your friends are going to the fair. There are 15 food booths, 20 game booths, 12 rides and a haunted house.
Nick plans to eat some food and play some games. How many different choices can he make?
What is 300
15 food booths x 20 game booths = 300 booths
100
In what property do you multiply exponents when bases are the same
What is Power of a Power Property
100
Put 34,000 into scientific notation
What is 3.4 x 10^4
200
Write in expanded form and as a single power
(-5f^2)^3 x (3f^3)2
What is (-5) x (-5) x (-5) x f x f x f x f x f x f x 3 x 3 x f x f x f x f x f x f
(-5)^3f^2x3 x 3^2f^3x2 = -125f^6 x 9f^6 = (-125 x 9) x f^6+6 = -1125f^12
200
Write in expanded form and as a single power
(175m^13 n^2)/(60m^6 n^2 )
What is 175 x m x m x m x m x m x m x m x m x m x m x m x m x m x n x n/60 x m x m x m x m x m x m x n x n
175/60 x m^13-6 x n^2-2 = 35m^7/12
200
Miss Wallace wears dress pants, a dress shirt, and dress socks to school every day. She owns 7 pairs of dress pants, 23 dress shirts, and 9 pairs of dress socks.
How many different outfits can she wear?
What is 1,449
7 x 23 x 9 = 1,449
200
In what property do you put under 1 when raised to a negative exponent?
What is Negative Exponent Property
200
Write 5.97 x 10^-6 as a whole number
What is 0.00000597
300
Rewrite the expression without parenthesis and simplify
(6/s^-5)^8 x (s^-2)
What is (6s^5)^8 x (1/s^2) = (6^8s^5x8) x (1/s^2) = 1,679,616s^13 x (1/s^2) = (1,679,616s^13/s^2) = 1,679,616s^13-2 = 1,679,616s^11
300
Rewrite the expression as a fraction without an exponent
(1/10)^-2
What is 10^2 = 100
300
Write all the 2-letter acronyms that can be made from the five vowels A, E, I, O, and U.
What is AA, AE, AI, AO, AU, EA, EE, EI, EO, EU, IA, IE, II, IO, IU, OA, OE, OI, OO, OU, UA, UE, UI, UO, UU
300
In what property do you add exponents when bases are the same?
What is Product of Powers Property
300
Write 9.453 x 10^5 as a whole number
What is 945,300
400
Find the value of x
(18m^x)/(21m^3) = (6m^4)/7
What is x = 7
400
Rewrite the expression as fraction without an exponent
(2/3)^-5
What is (3/2)^5 = 3^5/2^5 = 243/32
400
A test has 5 true-or-false questions and 15 multiple-choice questions with 4 choices each.
How many different set of answers are possible?
What is 34,359,738,368
2^5 x 4^15 = 34,359,738,368
400
In what property do you subtract exponents when bases are the same?
What is Quotient of Powers Property
400
Write 1,245,795,563 in scientific notation
What is 1.245795563 x 10^9
500
Find the value of x
(2h^-9/3h^x)^-1 = 3h^16/2
What is x = 7
500
Rewrite the expression without parentheses
(2y^2z^-3/6y^-3z^4)^-2
What is (6y^-3z^4/2y^2z^-3)^2 = (6z^4z^3/2y^2y^3)^2 = (6z^4+3/2y^2+3)^2 = (6z^7/2y^5)^2 = 6^2z^7x2/2^2y^5x2 = 36z^14/4y^10 = 9z^14/y^10
500
The Greek alphabet is about 2,750 years old and is used by about 12 million people in Greece and other countries around the world. In contains 24 letters.
How many 2-letter acronyms are there using Greek letters?
What is 576
24 x 24 = 576
500
In what property do you flip it (get the reciprocal) when it all is raised to a negative power?