please help i’m taking a math test !!!! urgent will mark brainliest

243^3/5 is the ___ root of 243 ___ and it's value is ___

fourth , third , sixth, fifth

to the fourth, squared, cubed, to the fifth

23 , 19 , 16 , 27

Respuesta :

Aego

Answer:

fifth root of 243 to the third and it's value is 27

Step-by-step explanation:

you would put the 5 on the outside and the 3 on the inside, and solving it would be 27

243^3/5 is the fifth root of 243 cubed and it's value is 27

Indicinal expressions

Given the indices expression

[tex]243^{\frac{3}{5} }[/tex]

This indices expression can also be expressed as:

[tex]243^{\frac{3}{5} }=(\sqrt[5]{243} )^3[/tex]

This can also be written as the fifth root of 243 cubed.

Further simplification of the expression will give:

[tex]243^{\frac{3}{5} }=(\sqrt[5]{243} )^3\\243^{\frac{3}{5} }=3^3 = 27\\[/tex]

Hence 243^3/5 is the fifth root of 243 cubed and it's value is 27

Learn more on indices here: https://brainly.com/question/10339517