Multiplication & Division
x8x7
x15
For what value of v is av=1, if a does not equal 0?
v=0
(4x3y-1)2 Write your answer without negative exponents.
16x6 / y2
The volume of an iceberg that is below the water line is 25 cubic meters. the volume that is above the water line is 22 cubic meters. How many times greater is the volume below the water line than above?
23
Determine whether the statement is always, sometimes or never true. If n is an integer, then 3n3-n equals 1.
Always
6a10b9 / 3ab3
2a9b6
For what value of w is b-w=1/b9, if b does not equal 0
w=9
(5x/y2)3 Write your answer without negative exponents.
125x3 / y6
What is the area of a square with a side length of a2b/
a4b2
Determine whether the statement is always, sometimes or never true. For a to not equal 0, the value of a-1 is positive.
Sometimes
7x2y5 / 14xy4
xy / 2
For what value of y is 33/3y=1/9
y=5
(2ab/a2b-2)-3 Write your answer without negative exponents.
a3 / 8b9
What is the volume of a cube with a side length of x2?
x6
Determine whether the statement is always, sometimes or never true. If 6p>0, then p>0
Sometimes
(6a2b)(-3ab3)
-18a3b4
For what value of z is 585z=1?
z=-8
[(-7nm2)-3]0 Write your answer without negative exponents.
1
What is the volume of a cube with a side length of 4c3d?
64c9d3
Determine whether the statement is always, sometimes or never true. 4-xequals 1/4x
Always
A megabyte is equal to 220 bytes, and a gigabytes is equal to 230 bytes. How many times larger us a gigabytes than a magebyte?
1024 times larger (or 210)
For what value of x is (3x22)/34=4/3?
x=3
(-2a2b-2c)3(3ab4c5)(xyz)0 Write your answer without negative exponents.
-24a7c8 / b2
The volume of a cube is x27 cubic inches. What is the length of one side of the cube?
x9 inches
Determine whether the statement is always, sometimes or never true. If m is an integer, then the value of 2m is negative.
Never