Question

Tính:

\(\frac{4^6.9^5+6^9.120}{-8^4.3^{12}-6^{11}}\)

Answer 1

4⁶ . 9⁵ + 6⁹ . 120 / -8⁴ . 3¹² - 6¹¹

= (2²)⁶ . (3²)⁵ + (2.3)⁹ . 2³ . 3 . 5 / -[ (2³)⁴ . 3¹² + (2.3)¹¹]

= 2¹² . 3¹⁰ + 2⁹ . 3⁹ . 2³ . 3 . 5 / -( 2¹² . 3¹² + 2¹¹ . 3¹¹)

= 2¹² . 3¹⁰ + 2¹² . 3¹⁰ . 5 / -[ 2¹¹ . 3¹¹ . ( 2.3 + 1)]

= 2¹² . 3¹⁰ . ( 1 + 5) / -[ 2¹¹ . 3¹¹ . ( 6 + 1)]

= 2¹² . 3¹⁰ . 6 / -( 2¹¹ . 3¹¹ . 7)

= 2¹³ . 3¹¹ / -( 2¹¹ . 3¹¹ . 7)

= 2² / -7 = 4/-7