Math, asked by rahul59766037, 1 year ago

find the value of? please solved the question ​

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Answered by brunoconti
5

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Answered by muskanc918
17

\bold{\underline{underline{Question:-}}}

  (  - \frac{1}{5}) {}^{3}   \times  ( - 1) {}^{85}  \times ( \frac{2}{5} ) {}^{2}

Now, before the solution let us have a knowledge about various important things-

If a negative number is raised to the power of any even number, then the result always comes in positive.

If a negative number is raised to the power of any odd number, then the result always comes in negative.

\bold{\underline{underline{Solution:-}}}

 = ( -  \frac{1}{5} ) {}^{3 }  \times ( - 1) {}^{85}  \times ( \frac{2}{5} ) {}^{2}  \\  =  \frac{ (- 1) \times ( - 1) \times ( - 1)}{( - 5) \times ( - 5) \times ( - 5)}   \times ( - 1) \times  \frac{2\times 2}{5 \times 5}  \\   = \frac{ - 1}{ - 125}  \times ( - 1) \times  \frac{4}{25}  \\  = \frac{( - 1) \times ( - 1) \times 4}{( - 125) \times 25}  \\   = \frac{1 \times 4}{( - 125) \times 25}  \\  =  \frac{4}{( - 3125)}  \\  =  -  \frac{4}{3125}

\bold{\red{\boxed{Answer:-4/3125}}}


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