Math, asked by rb9276362, 1 month ago

answer fast pleaseeeee​

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Answers

Answered by Anushkas7040
2

Answer:

\frac{5}{243}

Step-by-step explanation:

Let the number be x

Therefore,

(\frac{3}{5} )^{-3} \div x =(\frac{1}{15} )^{-2} \\\\=>(\frac{5}{3} )^{3} \times \frac{1}{x}  =(15 )^{2}\\\\=>\frac{125}{27x}=225\\\\=>\frac{1}{27x}=\frac{225}{125} \\\\=>\frac{1}{27x}=\frac{9}{5}  \\\\=>\frac{1}{x}=\frac{9 \times 27}{5}  \\\\=>x=\frac{5}{243}

Answered by DEBOBROTABHATTACHARY
0

(3/5)^-3

= (5/3)^3

= 125/27

And

(1/15)^-2

= 15^2

= 225

Let , The divided number is X

then,

according to question,.

(3/5)^-3 / X = (1/15)^-2

=> X = (3/5)^-3 / (1/15)^-2

=> X = (125/27) / 225

=> X = 125 / (27 × 225)

=> X = 5/243

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