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What is the following of (0.04)5/2

Sagot :

Answer:

A. 0.00032

Explanation:

Given the expression;

[tex]0.04^{\frac{5}{2}}[/tex]

Express 0.04 as a fraction to have;

0.04 = (4/100)^5/2

[tex]\begin{gathered} (\frac{4}{100})^{\frac{5}{2}} \\ =\text{ (}\sqrt[]{\frac{4}{100})}^5 \\ =\text{ (}\frac{2}{10}\text{)}^5 \\ =\text{ }\frac{2^5}{10^5} \\ =\text{ }\frac{32}{100,000} \\ =\text{ 0.00032} \end{gathered}[/tex]

Hence the correct answer is option A. 0.00032