Question

[(3/4)-²÷(4/5)-]×(3/5)-²
$(( \frac{3}{4} ) { - }^{2} \div ( \frac{4}{5} ) { - }^{3} )) \times ( \frac{3}{5} { - }^{2}$
Please answer this question with having exponents in numerator and denominator​

Answer 1

Answer:

[(3/4)^-2÷(4/5)^-3]×(3/5)^-2

=[1/(3/4)^2÷1/(4/5)^3]×1/(3/5)^2

=(16/9÷125/64)×25/9

=16/9×64/125×25/9

=(4/3)^2×(8/5)^2×(5/3)^2

=(4/3×8/5×5/3)^2

=(32/9)^2

DONE

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Step-by-step explanation:

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Answer 2

Answer:

$( { \frac{3}{4} )}^{ - 2} \div ( { \frac{4}{5} )}^{ - 3} \times ( { \frac{3}{5}) }^{ - 2} \\ \\ = ( { \frac{4}{3}) }^{2} \div ( { \frac{4}{5}) }^{3} \times ( { \frac{5}{3} )}^{2} \\ \\ = ( { \frac{4}{3}) }^{2} \times ( { \frac{5}{4}) }^{3} \times ( { \frac{5}{3} )}^{2} \\ \\ = \frac{( {4)}^{2 - 3} \times ( {5})^{3 + 2} }{( {3})^{1 + 1} } \\ \\ = \frac{( {4})^{ - 1} \times ( {5})^{5} }{( {3})^{2} } \\ \\ = \frac{{(5)}^{5}}{4 \times {(3)}^{2} } \\ \\ = \frac{125}{36}$

Step-by-step explanation:

125/36

HOPE IT HELPS YOU