Multiplying and Dividing Exponents
5x3y4 * 6x6y2
30x9y6
Simplify without negative exponents:
2^-5
1/32
Hershey the dog has a red vest, a blue puffer, and a yellow rain jacket and 5 different pairs of booties. How many different outfits can hershey make?
15
Simplify:
sqrt(700x^4
10x^2sqrt7
Name a value of n that would make this relation not a function : (1,5) (-6,-3) (n, 8) (2, 4)
n could be be 1, -6 or 2
(4m^3n^5)^2
16m6n10
Simplify without negative exponents:
[(4x)/(7y)]^-2
(49y^2)/(16x^2)
At Yogurt is Yummy there are 8 different flavors of frozen yogurt and 10 topping choices. My mom said I could have two yogurt flavors with 3 toppings - yay! How many different combinations could I make? Repetition aloud.
64,000 different combos
Simplify:
8sqrt6*5sqrt12
240sqrt2
Rewrite in standard form and identify A, B and C:
y = -2/3x - 11
2x + 3y = -33
a=2, b = 3 and c = -33
(12a^3b^5)/(4ab^3)
3a2b2
Simplify and write without negative exponents:
(10x^-3y^-7)/(5x^2y^-8)
(2y)/x^5
The secret code to get into Heilicher after hours has 5 digits (0 - 9) followed by 3 letters. How many different codes are possible?
1,757,600,000 different codes
A 13 foot ladder is leaning against a wall. It hits the wall 12 feet above the ground. How far is the base of the ladder from the wall?
5 feet
frac{x + 4}{8 }=frac{x - 1}{9}
x = -44
(9rs^6v^0)/(36rs^11v^2)
1/(4s^5v^2) or 2^-2s^-5v^-2
Simplify without fractions:
(4m^-3n^-2)/(8m^5n^-6)
2-1m-8n4
How many different orders could 8 numbered pool balls be in?
40,320
How far apart are the points (-3,8) and (1,5)?
5 units
If f(x) = -x2 - x - 3, Find x(-1)
-3
-3a^5b^3 * 2(a^xb^2)^4 = -6a^29b^11
x = 6
Simplify without Fractions:
[(a^3b^-2)/(a^-4b)]^-4
a-28b12
How many more 5 number passwords can be made using the digits 0 - 9 if you are allowed to repeat digits?
69,760 More passwords if the digits repeat
A square has the diagonal with a length of 14 inches. What is the area of the square?
98 square inches
Find the perimeter of a right triangle with the legs of 8 and 12.
20 + 4sqrt13