Question

pleease HELPPP pleeaseee it's hard​

Answer 1

Answer:

Using the identity,

${ ({a}^{m} )}^{n} = {a}^{mn}$

So, the answer proceeds as,

${ { { (\frac{8}{9}) }^{ - 2} }^{ \frac{1}{3} } }^{6} = {( \frac{8}{9} )}^{ - 2 \times 6 \times \frac{1}{3} } = {( \frac{8}{9}) }^{ - 4}$

$= {( \frac{9}{8})}^{4} = \frac{729}{512}$

Plz mark me as the brainliast.

Answer 2

Answer:

$\huge { \frac{6561}{4096} }$

Step-by-step explanation:

$\huge [{(( \frac{8}{9})^{ - 2}) } ^{ \frac{1}{3} } ] ^{6}$

$→\huge [{(( \frac{9}{8})^{ 2}) } ^{ \frac{1}{3} } ] ^{6}$

$→\huge [{( \frac{9}{8})^{ 2 \times \frac{1}{3} } } ] ^{6}$

$→\huge [{( \frac{9}{8})^{ 2 \times \frac{1}{ \cancel3} \times \cancel6 } } ]$

$→\huge [{( \frac{9}{8})^{ 2 \times 2 } } ]$

$→\huge {( \frac{9}{8})^{ 4 } }$

$→\huge {\frac{9 ^{4} }{ {8}^{4} } }$

$→\huge \green{ \boxed{\frac{6561}{4096}}}$

Identity used -

• (2³)⁵ = $\large {2}^{3 + 5}$