Question

The value of ${\left(\frac{0.4\times 0.4\times 0.4+0.2\times 0.2\times 0.2}{0.2\times 0.2\times 0.2+0.1\times 0.1\times 0.1}\right)}^3$

• A. $512$
• B. $4$
• C. $8$
• D. $16$

Answer 1

The correct option is A $512$

${\left[\frac{(0.4{)}^3+(0.2{)}^3}{(0.2{)}^3+(0.1{)}^3}\right]}^3={\left[2^3\left(\frac{(0.2{)}^3+(0.1{)}^3}{(0.2{)}^3+(0.1{)}^3}\right)\right]}^3=512$