8^10 + 4^10 / 8^4 + 4^11
= (2^3)^10 + (2^2)^10 / (2^3)^4 + (2^2)^11
= 2^30 + 2^20 / 2^12 + 2^22
= 2^20 . (2^10 + 1) / 2^12 . (1 + 2^10)
= 2^20 / 2^12
= 2^8
= 256
1. Tìm x:
a;\(\frac{x+1}{3}=\frac{x-2}{4}\)
b;\(\frac{x-6}{7}+\frac{x-7}{8}+\frac{x-8}{9}=\frac{x-9}{10}+\frac{x-10}{11}+\frac{x-11}{12}\)
c;\(\frac{x+3}{11}+\frac{x+23}{12}=\frac{x+38}{13}+\frac{x+27}{14}\)
tính:
B=\(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+........+\frac{1}{2^{10}}\)
C=\(\frac{4^{20}+4^{29}}{8^{13}+8^{15}}\)
Tìm x:
\(\frac{1}{4}.\frac{2}{6}.\frac{3}{8}.\frac{4}{10}.....\frac{30}{62}.\frac{31}{16}=\frac{1}{4^x}\)
\(\frac{2^{-2}-\left(-\frac{3}{4}\right)^{-4}.\left(\frac{-1}{2}\right)^2}{10^{-1}^{ }+\left(\frac{1}{8\left(\right)^0}\right)}\)
Tính:
a) 43 . 53 e) 52 . 62. 32
b)63 . 53 f) \(\dfrac{45^{10^{ }}.5^{10}}{75^{10}}\)
c)82 . 52 i)\(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
d) 1253 . 83 h) \(\dfrac{2^{15}.9^4}{6^6.8^3}\)
g)\(\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)
Tính
A=\(\dfrac{4.5^{10}.5^{10}}{75^{10}}\) B=\(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
C=\(\dfrac{2^{15}.9^4}{6^6.8^3}\) D=\(\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)
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Rút gọn :
A = \(\frac{2.8^4.27^8+4.6^9}{2^7.6^7+2^7.40.9^4}\)
B = \(\frac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)
Tính \(\frac{4^6.9^5+6^9.120}{-8^4.3^{12}-6^{11}}\)
a, 10^8 . 2^8
b, 10^8 : 2^8
c, 25^4 . 2^8
d, 15^8 . 9^4
e, 27^2 :25^3