Question

Evaluate of the following: 

${\displaystyle {\left(10.4\right)}^3}$

Answer 1

In the given problem, we have to find the value of numbers

Given${\displaystyle {\left(10.4\right)}^3}$

In order to find  ${\displaystyle {\left(10.4\right)}^3}$ we are using identity  ${\displaystyle (a+b^3)=a^3+b^3+3ab(a+b)}$

We can write ${\displaystyle {\left(10.4\right)}^3}$ as  ${\displaystyle {(10+0.4)}^3}$

Hence where ${\displaystyle a=10,b=0.4}$

 ${\displaystyle {\left(10.4\right)}^3={(10+0.4)}^3}$

 ${\displaystyle ={\left(10\right)}^3+{\left(0.4\right)}^3+3\left(10\right)\left(0.4\right)(10+0.4)}$ 

${\displaystyle =1000+0.064+12\times 10.4}$

${\displaystyle =1000+0.064+124.8}$

${\displaystyle =1000+124.864}$

${\displaystyle =1124.864}$

The value of ${\displaystyle {\left(10.4\right)}^3}$ is 1124.864.