Question

evaluate (0.01024)2/5​

Answer 1

0.004096

hope it helps u

Answer 2

The value of the given expression is 0.16.

Explanation:

The given expression : $(0.01024)^{\frac{2}{5}}$

Here, $0.01024=\dfrac{1024}{100000}=\dfrac{4\times4\times4\times4\times4}{10\times10\times10\times10\times10}$

$=\dfrac{4^5}{10^5}=(\dfrac{4}{10})^5= (0.4)^5$

Now , the given expression will become

$(0.01024)^{\frac{2}{5}}=((0.4)^5)^\frac{2}{5}$

$=(0.4)^{\frac{2}{5}\times5}$  [$\because \ (a^n)^m=a^{mn}$]

$=(0.4)^2= 0.4\times0.4=0.16$

Hence, the value of the given expression is 0.16.

# learn more :

Evaluate , (0.01024)³/5

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