Vocabulary
The small raised number indicating how many times to multiply the base by itself.
Exponent
Simplify: (8f4)(7f7)
56f11
Simplify: h3/h-6
h9
Simplify: (n5)3
n15
What has hands but cannot clap?
Clock
When simplifying x8/x5 = x3, you are applying the _________ Rule.
Quotient of Power
Simplify: (9n5)(-9n)
-81n6
Evaluate: (16p5w2 / 2p3w3)0
1
Evaluate: ((23)2)2
4096
The more you take, the more you leave behind. What are they?
Footsteps
Any non-zero base raised to the power of zero equals ______.
1
Simplify: (x5y3z6) ÷ (x3y3z3
z3/x2
Simplify: (z2w-1)3 / (z3z2)2
1/w7
Simplify: ((-3r5t)2)3
729r30t6
How many sides does a hexagon have?
6
According to the _________ Rule, (3x)2 is equivalent to 32 * x2 = 9x2.
Power of a Product
The area of the rectangle is 32𝑥𝑦3 square units. The length is 8xy. Find the width of the rectangle. Write any variables in alphabetical order.
4y2
The nucleus of a certain atom is 10-13 centimeters across. If the nucleus of a different atom is 10-11 centimeters across, how many orders of magnitude as great is the second nucleus?
2
A video game system is packaged in a box that is in the shape of a cube. The length of the packaging box is 4𝑥2𝑦5. What is the volume of the packaging box in terms of x and y? Formula for cube: V = s3
64x6y15
A farmer has 17 sheep. All but 9 run away. How many are left?
9
When dealing with a negative exponent, you must take the reciprocal. What does reciprocal mean?
A reciprocal is a number you get by flipping a fraction. When a number has a negative exponent, you can rewrite it as its reciprocal with a positive exponent.
A national coffee chain makes and serves 4 billion cups of coffee in a year. If the average cup of coffee costs $3.15, how much gross income does the coffee chain make in a year from coffee sales?
$1.26 × 1010
Jon climbs 24m up a mountain. Jill climbs 5m up the mountain. How far apart are they?
19m
A bedroom is in the shape of a square. The length of the room is 6p7q. What is the area of the bedroom in terms of p and q?
36p14q2
If five machines make five products in five minutes, how long will 100 machines take to make 100 products?
5 minutes