Question

simplify: (164/125)-²/³​

Answer 1

Answer:

$\frac{25}{16} \: is \: the \: answer$

Step-by-step explanation:

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

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

negetive sign in power inverse the number

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

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

${( \frac{ \sqrt[3]{5 \times 5 \times 5} }{ \sqrt[3]{4 \times 4 \times 4} }) \: }^{2}$

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

$\frac{5 \times 5}{4 \times 4}$

$\frac{25}{16}$