Mark (✓) against the correct answer

Question:

$\operatorname{Mark}(\checkmark)$ against the correct answer

The value of $\left(\frac{3}{4}\right)^{-3}$ is

(a) $\frac{-27}{64}$

(b) $\frac{64}{27}$

(c) $\frac{-9}{4}$

(d) $\frac{27}{64}$

Solution:

(b) $\frac{64}{27}$

$\left(\frac{3}{4}\right)^{-3}=\left(\frac{4}{3}\right)^{3}=\frac{4^{3}}{3^{3}}=\frac{64}{27}$

 

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