Question

find the cubes of 2/3

Answer 1

Step-by-step explanation:

The cube of 2/3 is 8/27.

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Answer 2

The cube of $\frac{2}{3}$ will be equal to $\frac{8}{27}$

To Find:

The cube of $\frac{2}{3}$

Solution:

It's fairly simple to find the answer to this question, as seen below.

Two methods exist for locating the cube of $\frac{2}{3}$.

Consider a = 2 and b = 3

Method 1:

We know that,

$(\frac{a}{b}) ^{3} = \frac{a}{b}$ × $\frac{a}{b}$ × $\frac{a}{b}$

On substituting the values,

$(\frac{2}{3}) ^{3} = \frac{2}{3}$ × $\frac{2}{3}$ × $\frac{2}{3}$

$= \frac{4}{9}$ × $\frac{2}{3}$

$= \frac{8}{27}$

Method 2:

We know that,

$(\frac{a}{b}) ^{3} = \frac{a^{3} }{b^{3} }$

On substituting the values,

$(\frac{2}{3}) ^{3} = \frac{2^{3} }{3^{3} }$

$2^{3} = 8\\ 3^{3} = 27$

Hence,

$(\frac{2}{3}) ^{3} = \frac{8}{27}$

Hence, the cube of $\frac{2}{3} = \frac{8}{27}$