Question

Which is equivalent to 80 Superscript one-fourth x?

(StartFraction 80 Over 4 EndFraction) Superscript x
RootIndex 4 StartRoot 80 EndRoot Superscript x
RootIndex x StartRoot 80 EndRoot Superscript 4
(StartFraction 80 Over x EndFraction) Superscript 4

Answer 1

B

Explanation:

edge 2020

Answer 2

The equivalent statement is
`(\sqrt[4]{80})^(x)` ⇒ 2nd answer

Explanation:

* Lets explain how to solve the problem

- Any root can be a fraction power

- Ex:
`√(a)=a^{(1)/(2)}`

`\sqrt[3]{a}=a^{(1)/(3)}`

`\sqrt[4]{a}=a^{(1)/(4)}`

`\sqrt[n]{a}=a^{(1)/(n)}`

* The expression is
`(80)^{(1)/(4)x}`

∵
`(80)^{(1)/(4)x}` can be written as
`(80^{(1)/(4)})^(x)`

∵
`(80)^{(1)/(4)}=\sqrt[4]{80}`

∴
`(80^{(1)/(4)})^(x)` =
`(\sqrt[4]{80})^(x)`

* The equivalent statement is
`(\sqrt[4]{80})^(x)`