Respuesta :
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
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