(14 * 2⁷ * 10¹⁷ - 24 * 2²² * 5¹⁷ ) / (6² * 2 ²⁵ * 5¹⁶ - 20¹⁴ * 100) =

Question

(14 * 2⁷ * 10¹⁷ - 24 * 2²² * 5¹⁷ ) / (6² * 2 ²⁵ * 5¹⁶ - 20¹⁴ * 100) =

Answer 1

(14·2⁷·10¹⁷ - 24·2²²·5¹⁷)/(6²·2²⁵·5¹⁶ - 20¹⁴·100) = (7·2⁸·10¹⁷ - 3·2²⁵·5¹⁷)/(3²·2²⁷·5¹⁶ - 2²⁸·5¹⁴·2²·5²) = 2²⁵·5¹⁷·(7 - 3)/(3²·2²⁷·5¹⁶ - 2³⁰·5¹⁶) = 2²⁷·5¹⁷/(2²⁷·5¹⁶·(3² - 2³)) = 5