Question

the value of expression (1/3)³*(-2/5)²*(-3/2)³​

Answer 1

Your Answer:

To find:-

• $\tt \blue{(\dfrac{1}{3})^3\times(\dfrac{-2}{5})^2\times (\dfrac{-3}{2})^3}$

Solution:-

$\tt (\dfrac{1}{3})^3\times(\dfrac{-2}{5})^2\times (\dfrac{-3}{2})^3\\\\ \tt \Rightarrow \dfrac{1}{3^3}\times\dfrac{(-2)^2}{(5)^2}\times\dfrac{(-3)^3}{(2)^3}\\\\ \tt \Rightarrow \dfrac{1}{27}\times\dfrac{4}{25}\times\dfrac{-27}{8}\\\\ \tt \Rightarrow \dfrac{1}{\cancel{27}}\times\dfrac{\cancel{4}}{25}\times\dfrac{\cancel{-27}}{\cancel{8}}\\\\ \tt \Rightarrow \dfrac{-1}{50}$

Concepts Used:-

• Multiplication of numbers
• Squaring of numbers
• Cubing of numbers
• Sign conversion in Cubing and Squaring

Answer 2

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