Question

{\left[ {{{\left\{ {{{(729)}^{ - 3}}} \right\}}^{\,\frac{{ - 1}}{9}}}} \right]^{ - 3}}

Answer 1

Answer:

$\mathrm{Simplify}\:\left[\left\{\left(729\right)^{-3}\right\}^{\frac{-1}{9}}\right]^{-3}:\quad \frac{1}{729}\quad \left(\mathrm{Decimal:\quad }\:0.00137\dots \right)$

Step-by-step explanation:

$\left[\left\{\left(729\right)^{-3}\right\}^{\frac{-1}{9}}\right]^{-3}$

$=\left[729^{\frac{1}{3}}\right]^{-3}$

$\mathrm{Apply\:exponent\:rule:\quad \:a^{-b}=\frac{1}{a^b}}$

$=\frac{1}{\left(729^{\frac{1}{3}}\right)^3}$

$=\frac{1}{729}$