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The volume of the cube shown below is 97 units cubed. The length of each side is root of order three of 97, using the formula V = s3, where V is the volume and s is the length of each side.What is an equivalent expression for the length of the sides of this cube if 97 to the power of x end power equals root of order three of 97?

The volume of the cube shown below is 97 units cubed The length of each side is root of order three of 97 using the formula V s3 where V is the volume and s is class=

Respuesta :

Length of the sides of the cube = Root of order three of 97 = 97^x =97^(1/3)

x=1/3 
Riia

It is given that the volume of the given cube is 97 units cubed. With side length is

[tex] \sqrt[3]{97} [/tex]

And it is given that

[tex] 97^x = \sqrt[3]{97} [/tex]

We can also write the right side as

[tex] 97^x = 97^{1/3} [/tex]

On comparing both sides, we will get

[tex] x = \frac{1}{3} [/tex]

And that's the required equivalent expression .

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