AymenE689790 AymenE689790
  • 03-11-2022
  • Mathematics
contestada

When 9 and 2/3 is written in simplest radical form, which value remains under the radical?36927

When 9 and 23 is written in simplest radical form which value remains under the radical36927 class=

Respuesta :

JessupI337943 JessupI337943
  • 03-11-2022

Given

[tex]9^{\frac{2}{3}}[/tex]

To write it in the simplest form and to find which value remains under the radical.

Explanation:

It is given that,

[tex]9^{\frac{2}{3}}[/tex]

It is known that,

[tex]x^{\frac{m}{n}}=\sqrt[n]{x^m}[/tex]

That implies,

[tex]\begin{gathered} 9^{\frac{2}{3}}=\sqrt[3]{9^2} \\ =\sqrt[3]{3\times3\times3\times3} \\ =3\sqrt[3]{3} \end{gathered}[/tex]

Therefore, the simplest form of the expression is,

[tex]3\sqrt[3]{3}[/tex]

and the value that remains under the radical is 3.

Answer Link

Otras preguntas

What value of x makes the equation true ? 4(2x-4)=16
jasmines cd collection is 3/8 jazz 1/4 rap and the rest is rock music what is the fraction of rock music
In scientific notation, what is the sum of 2.3 times 10^{-3} and 5.4 times 10^{-4}?a. 2.84 times 10^{-3}b. 5.63 times 10^{-3}c. 7.7 times 10^{-7}d. 12.42 times
find the circumference of a circle whose radius is 15.4cm
jasmines cd collection is 3/8 jazz 1/4 rap and the rest is rock music what is the fraction of rock music
find the circumference of a circle whose radius is 15.4cm
find the circumference of a circle whose radius is 15.4cm
All of the following expressions have a value between 0 and 1, excepta. \frac{(-3^{7})}{(-3)^9}b. 4^{-10}× 4^{6}c. \frac{(8^3)^3}{8^{-4}} d. ( \frac{2}{5} ^{8})
What value of x makes the equation true ? 4(2x-4)=16
What value of x makes the equation true ? 4(2x-4)=16