Math, asked by navkomal, 1 year ago

simplify

(81/16)^-3/4{(25/9)^-3/2÷(5/2)^-3}

Answers

Answered by DaIncredible

4

Answer:

1.

Step-by-step explanation:

${( \frac{81}{16} )}^{ - \frac{3}{4} } ( {( \frac{25}{9} )}^{ - \frac{3}{2} } \div {( \frac{5}{2} )}^{ - 3}) \\ \\ = {( \frac{ {3}^{4} }{ {2}^{4} } )}^{ - \frac{3}{4} } ( {( \frac{ {5}^{2} }{ {3}^{2} } )}^{ - \frac{3}{2} } \times {( \frac{2}{5} )}^{ - 3} ) \\ \\ = {( \frac{3}{2} )}^{4 \times - \frac{3}{4} } ( {( \frac{5}{3} )}^{2 \times - \frac{3}{2} } \times {( \frac{2}{5} )}^{ - 3} ) \\ \\ = {( \frac{3}{2} )}^{ - 3} \times {( \frac{5}{3} )}^{ - 3} \times {( \frac{2}{5} )}^{ - 3} \\ \\ = {( \frac{2}{3} )}^{3} \times {( \frac{3}{5} )}^{3} \times {( \frac{5}{2} )}^{3} \\ \\ = \frac{8}{27} \times \frac{27}{125} \times \frac{125}{8} \\ \\ \bf= 1$

Answered by Anonymous

2

Step-by-step explanation:

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81 i 25 -3

16

— at

3?

-4 5 2x}

27

125

~27

125

=1

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