Question

{ (2/3)^-2 - (3/4)^-1 }^-2


please help me guys ​

Answer 1

Answer:

{(3/2)²-4/3}^-2

(9/4-4/3)^-2

= (27-16/12)^-2

= (11/12)^-2

(12/11)²

144/121

Answer 2

Answer:

$\frac{1}{9}$

Step-by-step explanation:

=

$(( \frac{2}{3} ) { }^{ - 2} ( \frac{3}{4} ) {}^{ - 1} ) {}^{ - 2}$

=

$( \frac{1}{ (\frac{2}{3} {}^{} ) {}^{2} } ( \frac{3}{4} ) {}^{ - 1} ) { }^{ - 2}$

=

$( \frac{1}{ \frac{2 {}^{2} }{3 {}^{2} } } ( \frac{3}{4} ) {}^{ - 1}) {}^{ - 2}$

=

$( \frac{1}{ \frac{4}{9} } ( \frac{3}{4} ) {}^{ - 1} ) {}^{ - 2}$

=

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

=

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

=

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

=

$( \frac{9}{3} ) {}^{ - 2}$

=

$3 {}^{ - 2}$

=

$\frac{1}{3} {}^{ 2}$

=

$\frac{1}{9}$

Thanks........