Simplify the following (write your answer as a fraction or a decimal). $$ (0,64)^{\frac{1}{2}} $$

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UpStudy AI · Accepted Answer

We are given  
$$
(0,64)^{\frac{1}{2}}
$$  
which can be interpreted as the square root of $$0.64$$. This means  
$$
(0.64)^{\frac{1}{2}} = \sqrt{0.64}.
$$

Recognize that  
$$
0.64 = \left(\frac{4}{5}\right)^2
$$  
since  
$$
\left(\frac{4}{5}\right)^2 = \frac{16}{25} = 0.64.
$$

Thus,  
$$
\sqrt{0.64} = \sqrt{\left(\frac{4}{5}\right)^2} = \frac{4}{5}.
$$

The simplified form is  
$$
\frac{4}{5} \quad \text{or} \quad 0.8.
$$
The simplified form is $$ \frac{4}{5} $$ or $$ 0.8 $$.

Simplify the following (write your answer as a fraction or a decimal). \[ (0,64)^{\frac{1}{2}} \]

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