Math, asked by heseem777, 1 year ago

Evaluate (125)power of - 1/3

Answers

Answered by rishikapaul21
5

(125) \frac{ - 1}{3}

(5 ^{3} ) \frac{ - 1}{3}

5 ^{3}  \times \frac{ - 1}{3}

5 ^{ - 1}

 \frac{1}{ 5}


heseem777: But how
rishikapaul21: like that I've solved
rishikapaul21: see it carefully
heseem777: But 1/5 how
rishikapaul21: 5 to the power 1 means 1 by 5 bcoz it's power is in negative
heseem777: But what if it's in positive
rishikapaul21: we will keep as it is
heseem777: Means 5 to the power - 1
rishikapaul21: is 1 by 5
heseem777: Evaluate (64/25)to the power of - 3 /2
Answered by Shahoodalam
5

Hello Friend

Here is your answer below,,

(125) {}^{  - \frac{ 1}{3} }  \\  =  > (5) {}^{3 \times ( -  \frac{1}{3}) }  \\  =  >(5) {}^{3 \times  -  \frac{1}{3} }  \\  =  >( 5 ){}^{ - 1}  \\  =  > 5 {}^{ - 1}  \\  =  >  \frac{1}{5}

I hope that helps you

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