Question

In power notation $\frac{-729}{64}$ is

• A. $-{\left(\frac{3}{2}\right)}^6$
• B. ${\left(\frac{-3}{2}\right)}^6$
• C. ${\left(\frac{-9}{4}\right)}^3$
• D. ${\left(\frac{9}{4}\right)}^3$

Answer 1

The correct option is C

${\left(\frac{-9}{4}\right)}^3$

Find the correct option

Power notation of $\frac{-729}{64}$is

$\Rightarrow \left[\frac{\left(-9\times 9\times 9\right)}{4\times 4\times 4}\right]$

$\Rightarrow \left(\frac{{\left(-9\right)}^3}{4^3}\right)$

$\Rightarrow {\left(\frac{-9}{4}\right)}^3$

Hence, C is the correct option.