Question

Cube root 343 ^-3/ root 4 81

Answer 1

Answer:

$\frac{1}{1029}$

Step-by-step explanation:

$\frac{\sqrt[3]{343^{-3}}}{\sqrt[4]{81} }$

$\boxed{\text{Property: } a^{-b}=\frac{1}{a^{b}}}$

$\frac{\sqrt[3]{\frac{1}{343^{3}} }}{\sqrt[4]{81} }$

$\frac{\frac{\sqrt[3]{1} }{\sqrt[3]{343^3} } }{\sqrt[4]{81} }$

$\frac{\frac{1 }{343} }{3}$

$\frac{342 \cdot \frac{1 }{343} }{343 \cdot 3}$

$\frac{1}{1029}$