Product of Powers
Quotient of Powers
BEDMAS
Exponent Law
Mystery!
100
Write your answer as a power.
810 • 84
814
Keep the base and add the exponents 810 + 4 = 814
100
Write your answer as a power.
y^9/y^7
y^2
Keep the base, subtract the denominator exponent from the numerator exponent (y9 - 7 = y2).
100
Solve 9+(9-3)x2
What is 21
100
Simplify: 258
--------
253
What is 255
100
Evaluate the expression:
-150
There is no brackets so base is 15.
So -()
200
Write your answer as a power.
(2•7•5)3
237353
The exponent of 3 is distributed (with multiplication) to each of the three variables inside the parentheses.
Each variable has a hidden 1 exponent next to it.
200
Write your answer as a power.
10^12/10^7
105
Keep the base, subtract the denominator exponent from the numerator exponent (1012 - 7 = 105).
200
Solve: (5x6)x12/3-8+4
What is 6
200
Simplify 42 x 46
What is 48
200
Without calculating, is (-2)9 positive or negative? how do you know?
Negative, because the exponent is an odd number
300
Write your answer as a power.
c3 • c2 • c4
c9
Keep the base of c and add all three exponents c3 + 2 + 4 = c9.
300
Write your answer as a power.
8^9/8^7
82
Keep the base of 8 and subtract the denominator exponent from the numerator exponent. 89 - 7 = 82
300
What is 4x3+12/2
What is 18
300
What is the power of (43)6
What is 418
Why not 49?
300
Bob is building a square shaped pool in his backyard, he wants the total square feet to be 144.
1. What is the length of each side?
2. What is the total perimeter around his pool?
1. what is 12 ft per side
2. what is 48 ft
400
Write your answer as a power.
(c2d4)4
c8d16
The exponent of 4 is distributed (with multiplication) to each of the two variables inside the parentheses.
For c, multiply 2 x 4 and for d, multiply 4 x 4.
400
Write your answer as a power.
a^3/a^2*b^4/b^3
ab
Keep the base of a and subtract the denominator exponent from the numerator exponent. a3 - 2 = a
Keep the base of b and subtract the denominator exponent from the numerator exponent. b4 - 3 = b
Combine the variables to get ab
400
Solve: 40-23 +(33 - 22)
What is 55
400
Simplify and solve the following:
225 x 235 / 252
What is 28
what is 256
400
What is the length of the diagonal of a right triangle that has one side that measures 4m and a base that measures 5m?
Between 6.3 and 6.4 m
500
Write your answer as a power.
76
Keep the base of 7 and add the exponents in the numerator 75 + 3 = 78.
Subtract the exponent in the denominator from the exponent in the numerator 78 - 2 = 76
500
Simplify the expression while using only positive exponents.
4/x^6
Divide 8 by 2 = 4.
Subtract denominator exponent from numerator exponent x3 - 9 = x-6.
Bring x-6 down to the denominator as its positive reciprocal x6.
500
Solve: 4+5x6-(6-4)
What is 32
500
Simplify: 32 x (33)2
What is 38
500
What is the perfect square of 100?
What is 10