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(2x+24).53=4.55
=> 2x+24=4.55:53
=> 2x+16=4.52
=> 2x+16=4.25
=> 2x+16=100
=> 2x=100-16
=> x=84:2
=> x=42
(2x+24).53=4.55
=> 2x +2^4 = 4.5^5:5^3
=> 2x+16 = 4.5^2
=> 2x+16 = 4.25
=> 2x+16= 100
=> 2x= 100-16
x=84
=> x= 84:2
x=42
\(a,5:5^2+2^3.3^2\)
\(=5^4+72\)
\(=697\)
\(b,8^3.25-8^3.23\)
\(=8^3.\left(25-23\right)\)
\(=8^3.2\)
\(=1024\)
\(c,80-\left(4.5^2-3^2.2^3\right)\)
\(=80-\left(100-72\right)\)
\(=80-28\)
\(=52\)
\(d,\left(12^4-6^4+2.3^4\right):3^4\)
\(=\left(20736-1296+162\right):3^4\)
\(=19602:3^4\)
\(=242\)
\(a,5:5^2+2^3.3^2\)
\(=5+72\)
\(=77\)
\(b,8^3.25-8^3.23\)
\(=8^3.\left(25-23\right)\)
\(=8^3.2\)
\(=1024\)
\(c,80-\left(4.5^2-3^2.2^3\right)\)
\(=80-\left(100-72\right)\)
\(=80-28\)
\(=52\)
\(d,\left(12^4-6^4+2.3^4\right):3^4\)
\(=\left(20736-1296+162\right):3^4\)
\(=19602:3^4\)
\(=242\)
\(2b)\)
Đặt :
\(S=1+4+4^2+4^3+4^4....................+4^{100}\)
\(4S=4\left(1+4+4^2+4^3+4^4+.............+4^{100}\right)\)
\(4S=4+4^2+4^3+4^4+4^4+.......+4^{101}\)
\(4S-S=\left(4+4^2+4^3+4^4+4^5+.......+4^{101}\right)-\left(1+4+4^2+4^3+4^4+...............+4^{100}\right)\)
\(3S=4^{101}-1\)
\(S=\dfrac{4^{101}-1}{3}\)