Question

simplify the following expression. ​

Answer 1

Answer:

1/7 is the correct answer

Step-by-step explanation:

 ⇒ $\frac{3^{2}*5^{3}*7^{2} }{21^{3}*5^{3} }$

5³ gets cancelled in both numerator and denominator

⇒  $\frac{3^{3}*7^{2} }{21^{3} }$

∵  $21^{3} = 3^{3}$ × $7^{3}$

⇒   $\frac{3^{3}*7^{2} }{3^{3}*7^{3} }$

3³ gets cancelled and numerator's 7² gets cancelled with denominator of 7³ resulting:

⇒  $\frac{1}{7}$

Simplified answer is $\frac{1}{7}$

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By Abhiram5566

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