AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVExponential Functions with Radical Bases

Lesson 1: Exponential Functions with Radical Bases Answers

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1
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Which is equivalent to ?

Question illustration
A
243x
B
1,215 Superscript one-fifth x
Option B
C
1,215 Superscript StartFraction 1 Over 5 x EndFraction
Option C
D
243 Superscript StartFraction 1 Over x EndFraction
Option D
2
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Which is equivalent to ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

Which is equivalent to ?

Question illustration
A
8 Superscript three-fourths x
Option A
B
RootIndex 7 StartRoot 8 EndRoot Superscript x
Option B
C
RootIndex 12 StartRoot 8 EndRoot Superscript x
Option C
D
8 Superscript StartFraction 3 Over 4 x EndFraction
Option D
4

When is written in its simplest radical form, which value remains under the radical?

Question illustration
A
2
B
5
C
6
D
8
5

Which expression is equivalent to ?

Question illustration
A
2 StartRoot 3 EndRoot
Option A
B
2 RootIndex 3 StartRoot 3 EndRoot
Option B
C
2 StartRoot 6 EndRoot
Option C
D
2 RootIndex 3 StartRoot 6 EndRoot
Option D
6

Which is equivalent to ?

Question illustration
A
(StartFraction 80 Over 4 EndFraction) Superscript x
Option A
B
RootIndex 4 StartRoot 80 EndRoot Superscript x
Option B
C
RootIndex x StartRoot 80 EndRoot Superscript 4
Option C
D
(StartFraction 80 Over x EndFraction) Superscript 4
Option D
7

Which is equivalent to ?

Question illustration
A
92x
B
9 Superscript one-eighth x
Option B
C
StartRoot 9 EndRoot Superscript x
Option C
D
RootIndex 5 StartRoot 9 EndRoot Superscript x
Option D
8

What is the simplified base for the function f(x) = 2?

Question illustration
A
2
B
3
C
9
D
18
9

How are the graphs of the functions f(x) = and g(x) =related?

Question illustration
A
The functions f(x) and g(x) are equivalent.
B
The function g(x) increases at a faster rate.
C
The function g(x) has a greater initial value.
D
The function g(x) decreases at a faster rate.
10

When is written in simplest radical form, which value remains under the radical?

Question illustration
A
3
B
6
C
9
D
27

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