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a) \(9^3\cdot3^2\)
\(=\left(3^2\right)^3\cdot3^2\)
\(=3^6\cdot3^2\)
\(=3^8\)
b) \(x^7\cdot x:x^4\)
\(=x^8:x^4\)
\(=x^4\)
c) \(7\cdot3^9+3^{10}+51\cdot3^8\)
\(=3^8\cdot\left(7\cdot3+3^2+51\right)\)
\(=3^8\cdot81\)
\(=3^8\cdot3^4\)
\(=3^{12}\)
d) \(5^{15}\cdot125^3\cdot625\)
\(=5^{15}\cdot5^9\cdot5^4\)
\(=5^{28}\)
a) 198 + 232 - 98 - 32 = (232 - 32) + (198 - 98) = 300.
b) 567 - 32 - 68 = 567 - (32 + 68) = 467.
c) 99 - 97 + 95 - 93 + 91 - 89+ ...+7 - 5 + 3 - 1
= (99 - 97) + (95 - 93) + (91 - 89) +... + (7 - 5) + (3 -1)
= 2 + 2 + 2 + . .. + 2 + 2 = 2.25 = 50.
\(\frac{93}{32}và\frac{87}{24}\)
Ta có:\(\frac{87}{24}=\frac{29}{8}\)\(=\frac{116}{32}\)
Vì \(\frac{93}{32}
a; \(\dfrac{93}{17}\): \(x\) + (- \(\dfrac{21}{17}\)) : \(x\) + \(\dfrac{22}{7}\): \(\dfrac{22}{3}\) = \(\dfrac{5}{14}\)
\(\dfrac{94}{17}\) \(\times\) \(\dfrac{1}{x}\) - \(\dfrac{21}{17}\) \(\times\) \(\dfrac{1}{x}\) + \(\dfrac{3}{7}\) = \(\dfrac{5}{14}\)
\(\dfrac{72}{17}\) \(\times\) \(\dfrac{1}{x}\) + \(\dfrac{3}{7}\) = \(\dfrac{5}{14}\)
\(\dfrac{72}{17x}\) = \(\dfrac{5}{14}\) - \(\dfrac{3}{7}\)
\(\dfrac{72}{17x}\) = - \(\dfrac{1}{14}\)
17\(x\) = 72.(-14)
17\(x\) = - 1008
\(x\) = - 1008 : 17
\(x\) = - \(\dfrac{1008}{17}\)
Vậy \(x\) \(=-\dfrac{1008}{17}\)
b; - \(\dfrac{32}{27}\) - (3\(x\) - \(\dfrac{7}{9}\))3 = - \(\dfrac{24}{27}\)
- \(\dfrac{32}{27}\) + \(\dfrac{24}{27}\) = (3\(x\) - \(\dfrac{7}{9}\))3
(3\(x-\dfrac{7}{9}\))3 = - \(\dfrac{8}{27}\)
(3\(x-\dfrac{7}{9}\))3 = (- \(\dfrac{2}{3}\))3
3\(x-\dfrac{7}{9}\) = - \(\dfrac{2}{3}\)
3\(x\) = - \(\dfrac{2}{3}\) + \(\dfrac{7}{9}\)
3\(x\) = \(\dfrac{1}{9}\)
\(x\) = \(\dfrac{1}{9}\) : 3
\(x\) = \(\dfrac{1}{27}\)
Vậy \(x=\dfrac{1}{27}\)
a)36:32+23.22-33.3
= 34+25-34
=25
=32
b)38:34-95:93
= 34-92
= 34-34
= 0
c)23.15+23.35
= 23(15+35)
= 8.50
= 400
a: \(3^6:3^2+2^3\cdot2^2-3^3\cdot3\)
\(=3^4+32-3^4\)
=32
b: \(3^8:3^4-9^5:9^3\)
\(=3^4-9^2\)
=0
c: Ta có: \(2^3\cdot15+2^3\cdot35\)
\(=8\cdot50\)
=400
Hai bài trên thì rút máy tính ra tính nha.
c) 103 + 99 + 95 + 91 + ... + 7 + 3 - 97 - 93 - 89 - ... - 5 - 1
= (103 - 97) + (99 - 93) + ... (7-1) + 3
= 6 + 6 + 6 +... + 6 + 3
17 số hạng 6
= 17.6 + 3
= 105
a, (125 x 37 x 32) : 4
=125 x 32 : 4 x 37
=125 x 8 x 37 = 1000 x 37 = 37000
b, 374 : (17 x 11)
= 374 : 17 : 11 = 374 : 11 : 17 = 34 : 17 = 2
c, 103+99+95+91+...+7+3-97-93-89-...-5-1
=(103+3) x (103-3):4+1 / 2 - (97+1) x (97-1):4+1 / 2 ( dấu / là dấu gạch ngang của phân số nha)
=106 x 26 / 2 - 98 x 25 / 2
=1378 - 1225 = 153
a) 3 ^ 6 : 3 ^ 2 + 2 ^ 3 + 2 ^ 2
= 36 - 2 + 23 + 2
= 34 + 25 = 81 + 32
= 113 .
b) ( 2100 - 63 ) : 21
= 2037 : 21
= 97 .
c) 32 x 59 + 41 x 32
= 32 x ( 59 + 41 )
= 32 x 100
= 3200 .
d) 99 - 97 + 95 - 93 + 91 - 89 + ... + 7 - 5 + 3 - 1 ( 50 so = 25 hieu )
= 2 + 2 + 2 + ... + 2 + 2 = 2 x 25
= 50 .
= (32)3 x 32
= 36x 32
= 38
C1: 93 . 32 C2: 93 . 32
= ( 32 )3 . 32 = 93 . 9
= 36 . 32 = 94 = ( 32 )4 = 38
= 36 + 2
= 38