Question

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?

Answer 1

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

`\sqrt[3]{97}`

And it is given that

`97^x = \sqrt[3]{97}`

We can also write the right side as

`97^x = 97^(1/3)`

On comparing both sides, we will get

`x = (1)/(3)`

And that's the required equivalent expression .

Answer 2

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

x=1/3