Question

Express as power of rational numbers. 64/100​

Answer 1

Answer:

(8/10)² is correct answer

Answer 2

SOLUTION

TO DETERMINE

Express as power of rational numbers

$\displaystyle \sf{ \frac{64}{100} }$

EVALUATION

Here the given rational number is

$\displaystyle \sf{ \frac{64}{100} }$

First we simplify the given number

$\displaystyle \sf{ \frac{64}{100} }$

$\displaystyle \sf{ = \frac{16}{25} }$

Now

$\displaystyle \sf{ 16 = {4}^{2} }$

$\displaystyle \sf{ 25 = {5}^{2} }$

Consequently we get

$\displaystyle \sf{ \frac{64}{100} }$

$\displaystyle \sf{ = \frac{16}{25} }$

$\displaystyle \sf{ = \frac{ {4}^{2} }{ {5}^{2} } }$

$\displaystyle \sf{ = { \bigg( \frac{4}{5} \bigg)}^{2} }$

FINAL ANSWER

$\displaystyle \sf{ \frac{64}{100} = { \bigg( \frac{4}{5} \bigg)}^{2} }$

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