Question

\(\frac{14.21^5}{49^3.3^6}\)

Answer 1

\(\frac{14.21^5}{49^3.3^6}=\frac{2.7.\left(3.7\right)^5}{\left(7^2\right)^3.3^6}=\frac{2.7.3^5.7^5}{7^6.3^6}=\frac{2}{3}.\)

Chúc bạn học tốt!

Answer 2

Ta có : \(\frac{14.21^5}{49^3.3^6}=\frac{14.21.21.21.21.21}{49.49.49.3.3.3.3.3.3}=\frac{7.2.7.3.7.3.7.3.7.3.7.3}{7.7.7.7.7.7.3.3.3.3.3.3}\)

\(\frac{14.21^5}{49^3.3^6}=\frac{14.21.21.21.21.21}{49.49.49.3.3.3.3.3.3}=\frac{2}{3}\)

Answer 3

= 7.2 . (3.7)^5 / (7²)³ . 3⁶

=7.2.7⁵.3⁵ / 7⁶ . 3⁶

⁼7.2.7⁵.3⁵ / (7.7⁵) . 3⁶

⁼7.2.1.3⁵ / 7. (3. 3⁵)

=7.2 / 7.3

=2 /3 (mk ko gõ dc phân số nên nhìn hơi rắc rối xíu nha, bạn thông cảm>///<)

Answer 4

\(\frac{14\cdot21^5}{49^3\cdot3^6}=\frac{2\cdot7\cdot3^5\cdot7^5}{\left(7^2\right)^3\cdot3^6}=\frac{2\cdot7^6\cdot3^5}{7^6\cdot3^6}=2\cdot\frac{1}{3}=\frac{2}{3}\)

Answer 5