contestada

20POINTS Which exponential functions have been simplified correctly? Check all that apply. f (x) = 5 RootIndex 3 StartRoot 16 Endroot Superscript x Baseline = 5 (2 RootIndex 3 StartRoot 2 EndRoot) Superscript x f (x) = 2.3 (8) Superscript one-half x Baseline = 2.3 (4) Superscript x f (x) = 81 Superscript StartFraction x Over 4 EndFraction Baseline = 3 Superscript x f (x) = three-fourths StartRoot 27 EndRoot Superscript x Baseline = three-fourths (3 StartRoot 3 EndRoot) Superscript x f (x) = (24) Superscript one-third x Baseline = 2 (RootIndex 3 StartRoot 3 EndRoot) Superscript x

Respuesta :

Answer:

Options A C D

Step-by-step explanation:

doing the edge 2020 assignment right now

The correct answer are option (A) , (B), (C) and (D)

[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]

[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]

[tex]f(x) = 81^\frac{x}{4}[/tex]

[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given exponential functions :

[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]

[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]

[tex]f(x) = 81^\frac{x}{4}[/tex]

[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]

[tex]f(x) = (24)^\frac{1}{3}^x[/tex]

Simplification of the given exponential functions :

[tex]f(x) = 5(\sqrt[3]{16} )^x = 5(\sqrt[3]{2^3\times2} )^x = 5(2\sqrt[3]{2} )^x[/tex]

[tex]f(x) = 2.3(8)^\frac{1}{2} = 2.3(2^3)^\frac{1}{2}^x = 2.3.2(2)^\frac{1}{2}^x = 24.(2)^\frac{1}{2}^x[/tex]

[tex]f(x) = 81^\frac{x}{4} = f(x) = (3^4)^\frac{x}{4} = 3^x[/tex]

[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x = \dfrac{3}{4} (\sqrt{3^3} )^x = \dfrac{3}{4} 3^x[/tex]

[tex]f(x) = (24)^\frac{1}{3}^x = 2(2)^\frac{1}{3}^x[/tex]

Hence, the correct answer are option (A) , (B), (C) and (D)

[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]

[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]

[tex]f(x) = 81^\frac{x}{4}[/tex]

[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ5