b) $$ \left(\frac{3}{5} ight)^{3} imes\left(\frac{2}{3} ight)^{2} imes\left(\frac{5}{7} ight)^{2} $$

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b) $$ \left(\frac{3}{5}ight)^{3} 	imes\left(\frac{2}{3}ight)^{2} 	imes\left(\frac{5}{7}ight)^{2} $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ (3/5)^3 * (2/3)^2 * (5/7)^2 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{3}{5}ight)^{3}\left(\frac{2}{3}ight)^{2}\left(\frac{5}{7}ight)^{2}$$
- step1: Multiply the numbers:
  $$\frac{12}{125}\left(\frac{5}{7}ight)^{2}$$
- step2: Evaluate the power:
  $$\frac{12}{125}	imes \frac{5^{2}}{7^{2}}$$
- step3: Rewrite the expression:
  $$\frac{12}{5^{3}}	imes \frac{5^{2}}{7^{2}}$$
- step4: Reduce the numbers:
  $$\frac{12}{5}	imes \frac{1}{7^{2}}$$
- step5: Multiply the fractions:
  $$\frac{12}{5	imes 7^{2}}$$
- step6: Multiply:
  $$\frac{12}{245}$$
The result of $$ \left(\frac{3}{5}ight)^{3} 	imes\left(\frac{2}{3}ight)^{2} 	imes\left(\frac{5}{7}ight)^{2} $$ is $$ \frac{12}{245} $$ or approximately 0.04898.
The result is $$ \frac{12}{245} $$ or approximately 0.04898.

b)

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