Product and Quotient Rule
The Product Rule: xm * xn =
xm+n
The Power Rule: (xm)n =
xmn
The Zero Exponent Rule: x0 =
1
The Rational Exponent Rule: xm/n =
The nth root of xm (the free version won't let me type math symbols...boo)
The (rectangular prism) fuel tank of my car has the dimensions:
b5 by 3c2 by 2x3
What is the volume of the fuel tank?
6b5c5
The Quotient Rule: xm / xn =
xm-n
Simplify: (z5)2
z10
The Negative Exponent Rule: x-m = _____ and 1 / x-m = _____
1 / xm
xm
Re-write in radical form: z1/3
The 3rd root of z
An asteroid travels at a speed of 68 miles per day, how many miles will it travel in 63 days?
(don't forget units!)
611 miles
Simplify: x2y * x3y4z
x5y5z
Simplify: (xy)m
xmyn
1
Re-write in radical form: y3/4
The 4th root of y3
The area of a rectangle is 36x5y7.
The length of the rectangle is 4x2y3.
What is the width of the rectangle?
9x3y4
Simplify: x2y5 / xy3
xy2
Simplify: (6x3)2
36x6
Simplify: -4x5y-2
-4x5 / y2
Re-write in exponent form: The 5th root of z
z1/5
The U.S. national debt is about 1013 dollars.
If the debt was divided evenly among the roughly 108 adults, how much would each adult owe?
Write your answer as an exponential expression, and then write the actual dollar amount.
105 dollars
$100,000
Simplify: (x2y3 / xy) * (x4 / y)
x5y
Simplify: (x2 / y)4
x8 / y4
Simplify: a-2b3 / c-4d-1
b3c4d / a2
Re-write in exponent form: The 3rd root of m2
m2/3
The height of a trapezoid is 4ab3.
The bases of the trapezoid are 2ab and 5ab.
What is the area of the trapezoid?
Hint: A = 1/2 (b1 + b2) * h
14a2b4