Math, asked by sujal896, 1 year ago

9.9ka cube Sarvsamika​

Answers

Answered by drranbirthakur
0

Answer:

9.9 {}^{3}  = 9.9 \times 9.9 \times 9.9 = 970.299 \\

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Answered by amitnrw
2

Answer:

970.299

Step-by-step explanation:

 {9.9}^{3}  \\  =  {( \frac{99}{10} )}^{3}  \\  =   \frac{ {99}^{3} }{ {10}^{3} }

let first solve numerator

 {99}^{3}  \\  =  {(100 - 1)}^{3}

using formula

  {(x - y)}^{3}  =  {x}^{3}  -  {y}^{3}  - 3xy(x - y)

 =  {100}^{3}  -  {1}^{3}  - 3(100)(1)(100 - 1) \\  = 1000000 - 1 - 300 \times 99 \\  = 1000000 - 29701

= 970299

denominator

 {10}^{3}  = 1000

 {9.9}^{3}  =  \frac{970299}{1000}  \\  = 970.299

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