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what power can you write to represent the volume of the cube shown? write the power as an expression with a base and an exponent and then find the volume of the cube

what power can you write to represent the volume of the cube shown write the power as an expression with a base and an exponent and then find the volume of the class=

Respuesta :

Answer:

The power for the volume of the cube is '3'.

Exponent form of the volume is [tex](\frac{1}{3})^3[/tex]

Volume of the cube is [tex]\frac{1}{27}[/tex] inch³.

Step-by-step explanation:

We are given,

A cube with side equal to [tex]\frac{1}{3}[/tex] inches.

As we know,

Volume of a cube = [tex]side^{3}[/tex]

Thus, we get,

Volume of the given cube is,

Volume = [tex](\frac{1}{3})^3[/tex]

i.e. Volume = [tex]\frac{1}{27}[/tex] inch³

Thus, we have,

The power for the volume of the cube is '3'.

Exponent form of the volume is [tex](\frac{1}{3})^3[/tex]

Volume of the cube is [tex]\frac{1}{27}[/tex] inch³.

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Answer:

volume of the cube will be=[tex](\frac{1}{3})^{3}=((3)^{-1})^{3}=(3)^{-3}[/tex].

Step-by-step explanation:

It is given that the side of the cube is =[tex]\frac{1}{3}in[/tex]

Now, the volume of the cube= [tex](side)^{3}[/tex]

Thus, using the side of the cube, volume of the cube will be=[tex](\frac{1}{3})^{3}=((3)^{-1})^{3}=(3)^{-3}[/tex].

Thus, -3 will be the power that represents the volume of the cube.

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