Question

What is the reciprocal of (1/3) raised to the power -2 ÷ (3/5) raised to the power -3

Answer 1

Answer:

$(\frac{1}{3}) ^{-2}$ ÷ $(\frac{3}{5})^{-3}$

= 3² ÷$(\frac{5}{3})^{3}$

= 9 ÷ $\frac{125}{27}$

= 9 × $\frac{27}{125}$

= $\frac{9\times 27}{125} = \frac{243}{125} = 1\frac{118}{125}$

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