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a: =16-2+91=14+91=105
b: =9*5+8*10-27=45+53=98
c: =32+65-3*8=8+65=73
d; \(=5^3-10^2=125-100=25\)
e: \(=4^2-3^2+1=8\)
f: =9*16-16*8-8+16*4
=16(9-8+4)-8
=16*5-8
=72
a) \(2^4-50:25+13\cdot7\)
\(=2^4-2+91\)
\(=16-2+91\)
\(=14+91\)
\(=105\)
b) \(3^2\cdot5+2^3\cdot10-3^4:3\)
\(=9\cdot5+8\cdot10-3^3\)
\(=45+80-27\)
\(=98\)
c) \(2^5+5\cdot13-3\cdot2^3\)
\(=32+65-3\cdot8\)
\(=32+65-24\)
\(=73\)
d) \(5^{13}:5^{10}-5^2\cdot2^2\)
\(=5^{13-10}-\left(5\cdot2\right)^2\)
\(=5^3-10^2\)
\(=125-100\)
\(=25\)
e) \(4^5:4^3-3^9:3^7+5^0\)
\(=4^{5-3}-3^{9-7}+1\)
\(=4^2-3^2+1\)
\(=16-9+1\)
\(=8\)
f) \(3^2\cdot2^4-2^3\cdot4^2-2^3\cdot5^0+4^2\cdot2^2\)
\(=3^2\cdot4^2-2^3\cdot4^2-2^3\cdot1+4^2\cdot2^2\)
\(=4^2\cdot\left(3^2-2^3+2^2\right)-2^3\)
\(=4^2\cdot\left(9-8+4\right)-8\)
\(=16\cdot5-8\)
\(=72\)
\(5^{200}=25^{100}\)
\(2^{500}=32^{100}\)
mà 25<32
nên \(5^{200}< 2^{500}\)
\(A=\left(6+5\right)^2\times5^2:5^3+\left(7-2\right)^9:5^8\)
\(=11^2\times25:125+5^9:5^8\)
\(=121\times25:125+5\)
\(=3025:125+5\)
\(=24,2+5\)
\(=29,2\)
A= (6+5)2 x 52 : 53 + (7-2)9 : 58
= 112 x 52 : 53 + 59 : 58
= (112 x 52)/53 + 59-8
= 112/5 + 5
= 121/5 +5
= 24 + 1/5 +5
= 29 + 1/5
=29,2
Vậy A=29,2
= (-123) x (-25) - 123 x 89 + 123 x 89 - 123 x 125
= 123 x 25 - 123 x 89 + 123 x 89 - 123 x 125
= 123 x (25 - 125) - (123 x 89 - 123 x 89)
= 123 x (-100) - 0
= -12 300
a ) 13 . 35 + 13 . 67 - 26
= 13 . ( 35 + 67 ) - 26
= 13 . 102 - 26
= 1326 - 26
= 1300
b) ( 25 .12 + 4 . 25 ) : 27
= [ 25 . ( 12 + 4 ) ] : 27
= 25 . 16 : 27
= 25 . 24 : 27
= 29 : 27
= 22 = 4
c) 23 . [ 50 - ( 17 - 54 : 33 )] + 16
= 8 . [ 50 - ( 17 - 54 : 27 )] + 16
= 8 . [ 50 - ( 17 - 2 )] + 16
= 8 . [ 50 - 15 ] + 16
= 8 . 35 + 16
= 280 + 16
= 296
K MK NHA
a) \(5^2.13^2+4.75-25.165\)
\(=25.169+300-4125\)
\(=4225+300-4125\)
\(=\left(4225-4125\right)+300\)
\(=100+300\)
\(=400\)
Ta có : 52 . 132 + 4 . 75 - 25 . 165
= ( 5 . 13 ) . ( 5 . 13 ) + 4 . 3 . 25 - 25 . 165
= 65 . 65 + 12 . 25 - 25 . 165
= 652 - 25 . 165 + 12 .25
= 4225 - 3825 = 400