\(\dfrac{2^{49}.25^{15}}{15^{30}.27^6}\)=\(\dfrac{2^{49}.\left(5^2\right)^{15}}{\left(3.5\right)^{30}.\left(3^3\right)^6}\)=\(\dfrac{2^{49}.5^{30}}{3^{30}.5^{30}.3^{18}}\)=\(\dfrac{2^{49}}{3^{48}}\)
\(\dfrac{15^3+5,15^2-5^3}{18^3+6,18^2-6^3}\)
2 mũ 15 Nhân 9 mũ 4 phần 6 mũ 6 Nhân 8 mũ 3
215.94/ 66. 83
Rút gọn
a) \(\dfrac{2^{15}.9^4}{6^6.8^3}\)
b) \(\dfrac{45^{15}.5^{15}}{75^{15}}\)
c) \(\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)
d) \(\left(x^2\right)^5:\left(x^5\right)^2\)
\(\dfrac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
\(\dfrac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
chứng minh rằng\(^{3^{15}-^{ }9^6}\)chia hết cho 13
Tính giá trị của biểu thức(tính nhanh nếu có thể):
1)\(\frac{35.\left(27^{8^{ }}+2.9^{11}\right)}{15.\left(81^{6^{ }}-12.3^{19}\right)}\)
2)\(\frac{5.4^{15^{ }}.9^{9^{ }}-4.3^{20^{ }}.8^9}{^{ }5.2^{9^{ }}.6^{19^{ }}-7.2^{29^{ }}.27^6}\)
3)\(\frac{4^{6^{ }}.9^{5^{ }}+6^{9^{ }}.120}{-8^{4^{ }}.3^{12^{ }}-6^{11}}\)
Bài 1: Tính giá trị biểu thức:
a, \(\frac{5^5.20^3-5^4.20^3+5^7.4^5}{\left(20+5\right)^3.4^5}\)
b, \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
c, \(\frac{5.\left(3.7^{15}-19.7^{14}\right)}{7^{16}+3.7^{15}}\)
