Question

$(0.512)^{\frac{1}{3}} +\frac{ (0.008)^{\frac{1}{3}}}{(0.512)^{\frac{1}{3}}} - (0.008)^{ \frac{1}{3}} =?$

• A. 1
• B. 17/20
• C. 10/3
• D. 5/6

Answer 1

Answer:

B. 17/20

Solution:

$(0.512)^{\frac{1}{3}} +\frac{ (0.008)^{\frac{1}{3}}}{(0.512)^{\frac{1}{3}}} - (0.008)^{ \frac{1}{3}} =?$

0.512 can be written as (0.8}³

$(0.8)^3)^{\frac{1}{3}}+\frac{(\frac{8}{1000})^{\frac{1}{3}}}{((0.8)^3)^{\frac{1}{3}}}-(\frac{8}{1000})^{\frac{1}{3}}=?$

$0.8+\frac{\frac{2}{10}}{0.8}-\frac{2}{10}=?$

$0.8+\frac{2}{8}-\frac{2}{10}=?$

$0.8+\frac{1}{4}-\frac{1}{5}=?$

$0.8+\frac{(5-4)}{20}=?$

$0.8+\frac{1}{20}=?$

$\frac{16+1}{20}=?$

$?=\frac{17}{20}$