Question

By what number should 5/4^-3 be divided so that the quotient may be 15/16 ^-2?

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Answer 1

Answer:

Step-by-step explanation:

5/4 ^ -3 SHOULD BE DIVIDED BY 16/9 TO GET QUOTIENT 1

Answer 2

$\mathcal{ANSWER}$

According to the question,

${( \frac{5}{4}) }^{ - 3} \div x= {( \frac{15}{16} )}^{ - 2}$


${( \frac{4}{5}) }^{ 3} \div x = {( \frac{16}{15} )}^{ 2}$


$\frac{64}{125} \div x = \frac{256}{225}$


$\frac{64}{125} \times \frac{225}{256} = x$

Cancelling them; as 64 and 256's common factor is 64 and 125 and 225's common factor is 25.


$\frac{1}{5} \times \frac{9}{4} = x$


$x = \frac{9}{20}$