Tính
( 1 + 2 +3 +.....+ 90 ) ( 12 . 34 - 6 . 68 ) : (\(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}\))
1, Viết kq dưới dạng a^n
a, 9 . 3^3 . 1/81 . 3^2
b, 4 . 25 : ( 2^3 . 1/16)
c, 3^2 . 2^5 . (2/5)^2
d, (1/3)^2 . 1/3 .9^2
2, Tính :
( -68)^6 : 34^6
1, Viết kq dưới dạng a^n
a, 9 . 3^3 . 1/81 . 3^2
b, 4 . 25 : ( 2^3 . 1/16)
c, 3^2 . 2^5 . (2/5)^2
d, (1/3)^2 . 1/3 .9^2
2, Tính :
( -68)^6 : 34^6
Tính
7/4.[2/3-(1/2-3/8)]3/4-[-(-5/3) - (1/12+2/9)]-6/11+12/-7+(-34)/771/11+2/3+(-19)/331+23++31++123+12+4+15+5+7+624+++857+8+854++5+4+2+4+6+4+++54+63542+513++8524+5+6+4+6+45+6+4++532+7+9863+4+6+37+++5463+45++6324+3+1++3+23+4+5+34+5+45++45+54+45++35+45+
A)7^8:[2^9-1^18]+7^8.[1^36-5^12]. B)[-0,75-1^4]:(-5)+1^15-(-1^5):(-3)
C)9^10-1^90-1^72-1^56-1^42-1^30-1^20-1^12-1^6-1^2 D)1+1^2.(1+2)+1^3.(1+2+3)+1^4.(1+2+3+4)+...+1^16.(1+2+3+4+...+16)
| 5/-4 | - | 1/-3 | + -5/6 - 4 1/2 ( 4 1/2 là hỗn số ạ )
5/8 - | -1/12 | - 3 1/4 + | -5/6 | ( 3 1/4 cũng là hỗn số )
3/-7 + | -5/12 | + 3 1/4 + | -5/6 |
1 3/5 - | 1/-4 | + 2/-3 - | - 1/2 |
A =15/34 + 7/21 + 9/34 - 1 15/17 + 2/3
B = 16 2/7 : ( - 3/5 ) - 28 2/7 : ( - 3/5 )
C = 25.(- 1/3) 3 + 1/5 - 2.( - 1/2 )2 -1/2
D = ( - 2 )3 . ( 3/4 - 0,25 ) : ( 2 1/4 - 1 1/6 )
F = ( - 3/2 )2 + |- 5/6 | - 1 1/2 : 6
I = - 1,53 : ( 5 5/28 - 1 8/9 .1,25 + 1 16/63 )
Câu 1 The function mm is defined on the real numbers by m(k) = \dfrac{k+2}{k+8}m(k)= k+8 k+2 . What is the value of 10\times m(2)10×m(2)? Answer: Câu 2 The function ff is defined on the real numbers by f(x)= ax-3f(x)=ax−3. What is the value of a if f(3)=9f(3)=9? Answer: Câu 3 The function ff is defined on the real numbers by f(x)= 2x+a-3f(x)=2x+a−3. What is the value of a if f(-5)=11f(−5)=11? Answer: Câu 4 The function ff is defined on the real numbers by f(x) = 2 + x-x^2f(x)=2+x−x 2 . What is the value of f(-3)f(−3)? Answer: Câu 5 Given a real number aa and a function ff is defined on the real numbers by f(x)=-6\times|3x|-4f(x)=−6×∣3x∣−4. Compare: f(a)f(a) f(-a)f(−a) Câu 6 There are ordered pairs (x;y)(x;y) where xx and yy are integers such that \dfrac{5}{x}+\dfrac{y}{4}=\dfrac{1}{8} x 5 + 4 y = 8 1 Câu 7 Given a negative number kk and a function ff is defined on the real numbers by f(x)=\dfrac{6}{13}xf(x)= 13 6 x. Compare: f(k)f(k) f(-k)f(−k) Câu 8 Given a positive number kk and a function ff is defined on the real numbers by f(x)=\dfrac{-3}{4}x+4f(x)= 4 −3 x+4. Compare: f(k)f(k) f(-k)f(−k). Câu 9 A=(1+2+3+\ldots+90) \times(12 \times34-6 \times 68):(\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{1}{6})=A=(1+2+3+…+90)×(12×34−6×68):( 3 1 + 4 1 + 5 1 + 6 1 )= Câu 10 Given that \dfrac{2x+y+z+t}{x}=\dfrac{x+2y+z+t}{y}=\dfrac{x+y+2z+t}{z}=\dfrac{x+y+z+2t}{t} x 2x+y+z+t = y x+2y+z+t = z x+y+2z+t = t x+y+z+2t . The negative value of \dfrac{x+y}{z+t}+\dfrac{y+z}{t+x}+\dfrac{z+t}{x+y}+\dfrac{t+x}{y+z} z+t x+y + t+x y+z + x+y z+t + y+z t+x is