Information
You have already completed the quiz before. Hence you can not start it again.
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
-
Question 1 of 4
Simplify
3-53-23−53−2
Write fractions as “a/b”
Incorrect
Loaded: 0%
Progress: 0%
0:00
Using the Quotient of Powers, bring similar bases together.
|
|
3−53−23−53−2 |
|
|
== |
3(−5)−(−2)3(−5)−(−2) |
|
== |
3(−5)+23(−5)+2 |
|
== |
3-33−3 |
Use Negative Powers to further simplify the expression.
3−33−3 |
== |
133133 |
|
|
== |
127127 |
3×3×3=273×3×3=27 |
-
Question 2 of 4
Simplify
7a6b2÷4ab27a6b2÷4ab2
Incorrect
Loaded: 0%
Progress: 0%
0:00
First, bring the like terms together
|
|
7a6b2÷4ab2 |
|
|
= |
(74)×(a6a)×(b2b2) |
Using the Quotient of Powers, bring similar bases together.
|
|
74×a6a1×b2b2 |
|
|
= |
74×a6−1×b2−2 |
|
= |
74×a5×b0 |
|
= |
74×a5×1 |
b0=1 |
|
= |
7a54 |
-
Question 3 of 4
Simplify
14m2y2my2
Write fractions as “a/b”
Incorrect
Loaded: 0%
Progress: 0%
0:00
First, bring the like terms together
|
|
14m2y2my2 |
|
|
= |
(142)×(m2m)×(yy2) |
Using the Quotient of Powers, bring similar bases together.
|
|
142×m2m1×y1y2 |
|
|
= |
7×m2−1×y1−2 |
|
= |
7my-1 |
Use Negative Powers to further simplify the expression.
7my−1 |
= |
7my1 |
|
|
= |
7my |
A power of 1 does not need to be written |
-
Question 4 of 4
If A=21x5y3, find the width of this rectangle:
Incorrect
Loaded: 0%
Progress: 0%
0:00
Since we are looking for the Width, we can take the Area formula and make Width (W) the subject.
A |
= |
L×W |
A÷L |
= |
L×W÷L |
Divide both sides by L |
|
AL |
= |
W |
|
W |
= |
AL |
Substitute the known values.
W |
= |
AL |
|
|
= |
21x5y37x3y2 |
|
|
= |
217×x5x3×y3y2 |
Join similar terms |
|
|
= |
3×x5x3×y3y2 |
Simplify using Quotient of Powers |
|
|
= |
3x(5−3)y(3−2) |
|
= |
3x2y |