Respuesta :

shreya27032006

Answer:

1/27

Step-by-step explanation:

( 1/3 )³

(1)³/(3)³

1/27

Solution:

  • Given expression: [tex](\frac{1}{3})^{3}[/tex]

The given expression is asking to find the cube of [tex]\frac{1}{3}[/tex].

Cube facts:

  • The Cube of a number is usually defined as a term multiplying itself 3 times.
  • Cube is referred to a small 3 over the base.

Solving the expression.

[tex](\frac{1}{3} )^{3} \\ \\= > (\frac{1}{3})(\frac{1}{3} )(\frac{1}{3} )\\\\ = > \frac{(1)(1)(1)}{(3)(3)(3)} \\\\ = > \frac{1}{27}[/tex]

Conclusion:

The cube of [tex]\frac{1}{3}[/tex] in fraction form is [tex]\frac{1}{27}[/tex].