Question

Simplify the following

Answer 1

Answer:

3/2 is the answer ......

Answer 2

There are 3 different processes indicated in this expression.

Laws of indices:

${x}^{ - m} = \frac{1}{xm}$

and

$( \frac{a}{b})^{ - m}$

$= ( \frac{b}{a} ) ^{ m}$

The second law is the one we will apply.

Also

${x}^{ \frac{p}{q} } = \sqrt[p]{x} ^{p}$

$( \frac{8}{27} ) ^{ \frac{ - 2}{3} }$

$= ( \frac{27}{8} )^{ \frac{ + 2}{3} }$

$\sqrt[3]{ \frac{27}{8} ^{2} }$

⬆⬆⬆find the cube roots first

$( \frac{3}{2} ) ^{2}$

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