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a)
A = 2 + 22 + 23 + 24 + .... +299 + 2100
2A = 22 + 23 + 24 + 25 + ... + 2100 + 2101
2A - A = A = 2101 - 2
vậy A = 2101 - 2
b)
B = 1 + 2 + 22 + 23 + ... + 22017
2B = 2 + 22 + 23 + 24 + ... + 22018
2B - B = B = 22018 - 1
Vậy B = 22018 - 1
c)
C = 2 + 23 + 25 + ... + 22017
4C = 23 + 25 + 27 + ... + 22019
4C - C = 3C = 22019 - 2
C = \(\frac{2^{2019}-2}{3}\)
d)
D = 2 + 24 + 27 + ... + 22017
8D = 24 + 27 + 210 + ... + 22020
8D - D = 7D = 22020 - 2
D = \(\frac{2^{2020}-2}{7}\)
a: \(=\dfrac{\left(5\cdot2^6+2^6\cdot3^2-2^6\cdot3\right)}{2^6}=5+9-3=2+9=11\)
b: \(=\dfrac{600}{450:\left[450-4\cdot125+8\cdot25\right]}\)
\(=\dfrac{600}{450:150}=\dfrac{600}{3}=200\)
c: \(=1500-\left\{125\cdot8-11\cdot\left(49-5\cdot8+8\cdot0\right)\right\}\)
\(=1500-\left\{1000-99\right\}=1500-901=599\)
Giải:
a,\(\dfrac{2^5.3^2}{2^3.3}=2^2.3=12\)
b, \(\dfrac{5^3.6}{5.2^2}=\dfrac{5^3.2.3}{5.2^2}=\dfrac{5^2.3}{2}=37,5\)
c, \(\dfrac{8.5^2-8.4^2}{2^2.3^2}=\dfrac{8.\left(5^2-4^2\right)}{2^2.3^2}=\dfrac{8.9}{4.9}=2\)
d, \(\dfrac{7^4.2^2+7^4.3}{49.26}=\dfrac{7^4.\left(2^2+3\right)}{7^2.26}=\dfrac{7^4.7}{7^2.26}=\dfrac{343}{26}\)
Have a nice day!
a/ \(\dfrac{2^5\cdot3^2}{2^3\cdot3}=2^2\cdot3=12\)
b/ \(\dfrac{5^3\cdot6}{5\cdot2^2}=\dfrac{5^2\cdot6}{2^2}=\dfrac{150}{4}=37.5\)
c/ \(\dfrac{8\cdot5^2-8\cdot4^2}{2^2\cdot3^2}=\dfrac{200-2048}{36}=-\dfrac{1848}{36}\)