Question

Evaluate: $\frac{{\left(\frac{-3}{5}\right)}^3\times {\left(\frac{9}{25}\right)}^2\times {\left(\frac{-18}{125}\right)}^o}{\left(\frac{-27}{125}\right)\times \left(\frac{-3}{5}\right)}$

• A. $\frac{27}{125}$
• B. $-\frac{27}{125}$
• C. $\frac{64}{125}$
• D. $-\frac{64}{125}$

Answer 1

Answer: (B)

$-\frac{27}{125}$

$\frac{{\left(\frac{-3}{5}\right)}^3\times {\left(\frac{9}{25}\right)}^2\times {\left(\frac{-18}{125}\right)}^0}{\left(\frac{-27}{125}\right)\times \left(\frac{-3}{5}\right)}=\frac{\frac{-3^3\times 3^4\times 1}{5^3\times 5^4\times 1}}{\frac{3^3\times 3}{5^3\times 5}}=-\frac{3^{7-4}}{5^{7-4}}=-\frac{27}{125}$