AnswersAdv. Algebra II S2 OriginalSimplifying Rational Expressions

Simplifying Rational Expressions Answers

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1
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Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction n Superscript 6 Baseline Over 16 m Superscript 8 Baseline EndFraction
Option A
B
StartFraction n Superscript 10 Baseline Over 16 m Superscript 6 Baseline EndFraction
Option B
C
StartFraction n Superscript 10 Baseline Over 8 m Superscript 8 Baseline EndFraction
Option C
D
StartFraction 4 m cubed Over n Superscript 8 Baseline EndFraction
Option D
2
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Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction a Over b Superscript 5 Baseline
Option A
B
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
Option B
C
StartFraction a cubed b Over 1 EndFraction
Option C
D
StartFraction b Over a EndFraction
Option D
3

Marina correctly simplified the expression , assuming that . Her simplified expression is below.What exponent should Marina use for b?

Question illustration
A
mc027-4.jpg
Option A
B
mc027-5.jpg
Option B
C
1
D
7
4

Which expression is equivalent to ? Assume .

Question illustration
A
2 m squared n Superscript 5
Option A
B
StartFraction 81 m squared n Superscript 5 Baseline Over 8 EndFraction
Option B
C
2 m squared n squared
Option C
D
StartFraction 81 m squared n squared Over 8 EndFraction
Option D
5

Marina correctly simplified the expression , assuming that . Her simplifed expression is below.The exponent of the variable b in Marina’s solution should be

Question illustration
A
-7
B
-1
C
1
D
7
6

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction 2 a squared b Superscript 11 Baseline Over 3 EndFraction
Option A
B
StartFraction 2 a squared b Superscript 30 Baseline Over 3 EndFraction
Option B
C
StartFraction 3 a squared b Superscript 11 Baseline Over 2 EndFraction
Option C
D
StartFraction 3 a squared b Superscript 30 Baseline Over 2 EndFraction
Option D
7

Simplify the expression . Assume .

Question illustration
A
Negative StartFraction 1 Over 16 a squared b squared EndFraction
Option A
B
StartFraction a squared b squared Over 4 EndFraction
Option B
C
Negative 16 a squared b squared
Option C
D
16 a squared b squared
Option D
8

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction 2 Over p Superscript 15 Baseline q Superscript 12 Baseline EndFraction
Option A
B
StartFraction 7 p Superscript 15 Baseline Over 3 q Superscript 12 Baseline EndFraction
Option B
C
StartFraction 2 q Superscript 12 Baseline Over p Superscript 15 Baseline EndFraction
Option C
D
StartFraction 7 p Superscript 15 Baseline q Superscript 12 Baseline Over 3 EndFraction
Option D
9

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction a Superscript 7 Baseline b Superscript 10 Baseline Over 6 EndFraction
Option A
B
StartFraction 125 a Superscript 18 Baseline b Superscript 21 Baseline Over 30 EndFraction
Option B
C
StartFraction 25 a cubed b Superscript 4 Baseline Over 6 EndFraction
Option C
D
StartFraction 25 a Superscript 9 Baseline b Superscript 10 Baseline Over 6 EndFraction
Option D
10

What is the quotient in simplified form? Assume .

Question illustration
A
Negative StartFraction 3 p Superscript 8 Baseline Over 4 q cubed EndFraction
Option A
B
Negative StartFraction 3 Over 4 p Superscript 16 Baseline q Superscript 9 Baseline EndFraction
Option B
C
Negative StartFraction p Superscript 8 Baseline Over 5 q cubed EndFraction
Option C
D
Negative StartFraction 1 Over 5 p Superscript 16 Baseline q Superscript 9 Baseline EndFraction
Option D
11

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction 2 Over 3 a Superscript 4 Baseline b Superscript 10 Baseline EndFraction
Option A
B
StartFraction 4 Over 9 a Superscript 4 Baseline b Superscript 10 Baseline EndFraction
Option B
C
StartFraction 1 Over 36 a Superscript 4 Baseline b Superscript 10 Baseline EndFraction
Option C
D
StartFraction 36 a Superscript 4 Baseline b Superscript 10 Baseline EndFraction
Option D
12

What is the simplified form of ? Assume .

Question illustration
A
StartFraction 3 Over m Superscript 35 Baseline n Superscript 8 Baseline EndFraction
Option A
B
Negative StartFraction 3 n squared Over m squared EndFraction
Option B
C
Negative 3 m Superscript 12 Baseline n Superscript 6 Baseline
Option C
D
3 m Superscript 35 Baseline n Superscript 8 Baseline
Option D
13

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction 3 Over 5 x Superscript 5 Baseline y cubed EndFraction
Option A
B
StartFraction 3 Over 5 x Superscript 6 Baseline y Superscript 6 Baseline EndFraction
Option B
C
StartFraction 5 Over 3 x Superscript 5 Baseline y cubed EndFraction
Option C
D
StartFraction 5 Over 3 x Superscript 6 Baseline y Superscript 6 Baseline EndFraction
Option D
14

Which shows the following expression after the negative exponents have been eliminated?,

Question illustration
A
StartFraction x Superscript 4 Baseline Over y squared x Superscript 6 Baseline y Superscript 6 Baseline EndFraction
Option A
B
StartFraction x x Superscript 4 Baseline Over y squared y Superscript 6 Baseline EndFraction
Option B
C
StartFraction x Superscript 4 Baseline Over y squared x y Superscript 6 Baseline EndFraction
Option C
D
StartFraction x Superscript 4 Baseline y squared Over x y Superscript 6 Baseline EndFraction
Option D

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