Question

simplify
(81/49)^-3/2

Answer 1

Hey there!

$\frac{81}{49} {}^{ \frac{ - 3}{2} }$

$\frac{49}{81} {}^{ \frac{3}{2} }$

using

$a {}^{ \frac{m}{n} } = \sqrt[n]{a {}^{m} }$

$\sqrt{( \frac{49}{81} } ) {}^{3}$

$\sqrt{( \frac{7}{9} } ) {}^{6}$

$( \frac{7}{6} ) {}^{3}$

$= \frac{343}{729}$

Hope it helps!!

Answer 2

Answer: See the attachment below.