Question

9.9ka cube Sarvsamika​

Answer 1

Answer:

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

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Answer 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

${10}^{3} = 1000$

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