Question

(125/64)^2/3 simplify this​

Answer 1

Answer:

25/16

Step-by-step explanation:

=(125/64)^2/3

=125^2/3÷64^2/3

=(5^3)^2/3÷(4^3)^2/3

=5^2/4^2

=25/16

hope this helps you.

Answer 2

Answer:

$\huge\orange {\frac{25}{16}}$

Step-by-step explanation:

According to the Q,

$> > {(\frac{125}{64}) }^{ \frac{2}{3} }$

$> > {(\frac{125}{64}) }^{ \frac{1}{3} \times 2 }$

$> > { (\sqrt[3]{ \frac{125}{64} } )}^{2}$

$> > {(\frac{ \sqrt[3]{125} }{ \sqrt[3]{64} } ) }^{2}$

$> > { (\frac{5}{4} )}^{2}$

$> > \frac{ {5}^{2} }{ {4}^{2} }$

$\orange {> > \frac{25}{16}}$

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