Which expressions are equivalent to RootIndex 3 StartRoot 128 EndRoot Superscript x? Select three correct answers.


128 Superscript StartFraction x Over 3 EndFraction

128 Superscript StartFraction 3 Over x EndFraction

(4RootIndex 3 StartRoot 1 EndRoot)x

(4 (2 Superscript one-third Baseline) ) Superscript x

(2)x

this is on edge

Respuesta :

Answer:

- 128 Superscript StartFraction 3 Over x EndFraction

- (4RootIndex 3 StartRoot 2 EndRoot)x

- (4 (2 Superscript one-third Baseline) ) Superscript x

Step-by-step explanation:

Given the indicinal equation [tex](\sqrt[3]{128} )^{x}\\[/tex]

According to one of the law of indices,

[tex](\sqrt[a]{m} )^{b}\\= (\sqrt{m})^\frac{b}{a}[/tex]

Applying this law to the question;

[tex](\sqrt[3]{128} )^{x}\\ = {128} ^\frac{x}{3}\\ \\= (\sqrt[3]{64*2})^{x} \\ = (4\sqrt[3]{2})^{x} \\= (4(2^{1/3} )^{x} )[/tex]

The following are therefore true based on the following calculation

128 Superscript StartFraction 3 Over x EndFraction

(4RootIndex 3 StartRoot 2 EndRoot)x

(4 (2 Superscript one-third Baseline) ) Superscript x

Answer:

Options B, C, and D on edgenui.ty

Step-by-step explanation:

See the work  down above ^^^