Question

simplify: [(25/9)^-3/2 ÷ (5/3)^-3]​
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Answer 1

Answer:

${ \frac{25}{9} }^{ \frac{ - 3}{2 } } \div (\frac{5}{3})^{ - 3}$

$\frac{5}{3}^{ \frac{2 (- 3)}{2} } \div \frac{5}{3}^{ - 3}$

$\frac{5}{3}^{ - 3} \div \frac{5}{3}^{ - 3}$

$\frac{5}{3}^{( - 3) - ( - 3)} = \frac{5}{3}^{0}$

= 1

Answer 2

Answer:-

= [(25/9)^-3/2÷(5/3)^-3]

= [(5/3)^-3/2×2÷(5/3)^-3]

= [(5/3)^-3÷(5/3)^-3]

= [(3/5)^3÷(3/5)^3]

= [27/125÷27/125]

= [27/125÷125/27]

= 1

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