Name:__________
Date:____________
Period:___________ Page:___________
Which expression is equivalent to
1)
2)
3)
4)
2 The expression
1)
2)
3)
4)
?
is equivalent to
1. A four square court has a length of x3y2. The area of a square is calculated using Area=(length)2.
Find the area of the four square court.
2. To find the volume of a cube you multiply the length, width and height together.
What is the volume of this cube expressed as a power?
a) 56 in3
b) 54 in3
5 in
c) 53 in3
5 in
d) 52 in3
5 in
3. Rapper Drake bought snake. The aquarium for the snake is in the shape of a cube with each side
34 inches long.
a) Write a multiplication expression to represent the aquarium’s volume.
•
•
b) Simplify the expression above as a single power of 3.
c) Using 34 as the base, write the multiplication expression in a) using an exponent. (34 )
d) Explain why your answers to b) and c) are equivalent.
e) Evaluate the volume of the tank using a calculator.
Guided Practices
1. Expression
2. Expression
1)
is equivalent to
1)
2)
3)
4)
is equivalent to
2)
3)
4)
3. This expression is equivalent to
1)
2)
3)
4)
5. Simplify
( 114136x7y)-4
Show all your work!
?
4. Simplify the following expression
(-5p2q8rs5t4)3
=
6. To find the volume of a cube you multiply
the length, width and height together.
What is the volume of this cube expressed
as a power when the length is 3x5 ?
Volume = (length)3.
Name:__________
Date:______
Period:___________ Page:_______
1. Simplify
(u5u-5)-7 Show work!
Directions: Use the three properties of exponents to solve the
following problems
am an = a(m+n)
(am)n = a(m n)
(ab)n = an bn
2 points
2. A USPS flat rate shipping box is in the shape of
cube. Each side measures 4a2b5. Volume =
(side)3. What is the volume of the box?
2 points
4. A four square court has a length of 2xy4. The
area of a square is calculated using Area=
(length)2. Find the area of the four square
court.
2points
6.
Evaluate:
a) [(23 )2 ]4
3. 22•44 •(2)•26•43
2 points
5. (-2p3qr 3s 2t 4)3
=
2 points
7. Interstate 70 stretches almost 23•52•112 miles across the
United States. About how many miles long is Interstate
70?
2 points
2 points
Name:__________
Date:______
Period:___________ Page:_______