Question

3^2 × 7^8 × 13^6
--------------------------
21^2 × 91^3​

Answer 1

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Answer 2

$\frac{3² × 7⁸ × 13⁶}{21² × 9³}$

$\frac{3² × 7⁸ × 13⁶}{3² × 7² × 7³ × 13³}$

$\frac{7⁸ × 13⁶}{7⁵ × 13³}$

$= 7³ × 13³$

$= (7 × 13)³$

$= <strong>91</strong>³$

$= (100 - 9)³$

$= (100)³ - (9)³ - 3(100)²(9) + 3(100)(9)²$

$= (10,00,000 - 729 - 2,70,000 + 24300)$

$= (10,24,300 - 2,70,729)$

$= <strong>7,53,571</strong>$