Let the number = xNow, according to question : 910-3 × x = 5610⇒x = 5610 ÷ 910-3⇒x = 5610 ÷ 1093⇒x = 5610 × 9103⇒x = 510 × 3232×310 × 2×53⇒x = 510 × 36210 × 310× 23 × 53⇒x = 510 × 36213 × 53 × 310⇒x = 57213 × 34 = 3125663552

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Let the number = x Now, according to question : {(\frac{9}{10})}^{- 3} \times x = {(\frac{5}{6})}^{10} \Rightarrow x = {(\frac{5}{6})}^{10} \div {(\frac{9}{10})}^{- 3} \Rightarrow x = {(\frac{5}{6})}^{10} \div {(\frac{10}{9})}^{3} \Rightarrow x = {(\frac{5}{6})}^{10} \times {(\frac{9}{10})}^{3} \Rightarrow x = \frac{5^{10} \times {(3^{2})}^{3}}{{(2 \times 3)}^{10} \times {(2 \times 5)}^{3}} \Rightarrow x = \frac{5^{10} \times 3^{6}}{2^{10} \times 3^{10} \times 2^{3} \times 5^{3}} \Rightarrow x = \frac{5^{10} \times 3^{6}}{2^{13} \times 5^{3} \times 3^{10}} \Rightarrow x = \frac{5^{7}}{2^{13} \times 3^{4}} = \frac{3125}{663552}

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