AnswersAlgebra IExponential Functions with Radical Bases

Exponential Functions with Radical Bases — Quiz Answers

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Which expression is equivalent to 24 raised to the 1 third power ?

A
2 cube root of 3
B
2 square root of 6
C
2 cube root of 6
D
2 square root of 3
4

Which is equivalent to 64 raised to the 1 fourth power ?

A
16 4th root of 4
B
4
C
16
D
2 4th root of 4
6

Which is equivalent to cube root of 8 to the x th power ?

A
8 raised to the 3 over x power
B
8 raised to the 3 x power
C
8 raised to the x over 3 power
D
x th root of 8 cubed
7

Which is equivalent to square root of 10 raised to the 3 fourths x power ?

A
open paren 6th root of 10 close paren raised to the 4 x power
B
open paren 4th root of 10 close paren raised to the 3 x power
C
open paren 8th root of 10 close paren raised to the 3 x power
D
open paren cube root of 10 close paren raised to the 4 x power
8

Which is equivalent to 5th root of 1 comma 215 to the x th power ?

A
243 raised to the 1 over x power
B
243 to the x th power
C
1,215 raised to the 1 fifth x power
D
1,215 raised to the 1 over 5 x power
9

Which is equivalent to 80 raised to the 1 fourth x power ?

A
open paren 80 over x close paren to the 4th power
B
80 fourths to the x th power
C
4th root of 80 to the x th power
D
x th root of 80 to the 4th power
10

Which is equivalent to cube root of 8 raised to the 1 fourth x power ?

A
12th root of 8 to the x th power
B
8 raised to the 3 fourths x power
C
7th root of 8 to the x th power
D
8 raised to the 3 over 4 x power
12

Which statements accurately describe the function f of x is equal to 3 times 16 raised to the 3 fourths x power ? Choose three correct answers.

A
The range is y is greater than 0 .
B
The initial value is 3 .
C
The simplified base is 8 .
D
The simplified base is 12 .
E
The domain is x is greater than 0 .
15

How are the graphs of the functions f of x is equal to square root of 16 to the x th power and g of x is equal to cube root of 64 to the x th power related?

A
The function g of x decreases at a faster rate.
B
The function g of x has a greater initial value.
C
The functions f of x and g of x are equivalent.
D
The function g of x increases at a faster rate.
16

Which is equivalent to 4th root of 9 raised to the 1 half x power ?

A
9 raised to the 2 x power
B
9 raised to the 1 eighth x power
C
square root of 9 to the x th power
D
6th root of 9 to the x th power
19

Which statements accurately describe the function f of x is equal to 3 times open paren square root of 18 close paren to the x th power ? Choose three correct answers.

A
The simplified base is 3 square root of 2 .
B
The initial value is 3 .
C
The initial value is 9 .
D
The domain is all real numbers.
E
The range is y is greater than 3 .

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