a)4^10x8^15=(2^2)10x(2^3)15
=22x10x23x15
= 220x245
=220+45
=265
a)4^10x8^15=(2^2)10x(2^3)15
=22x10x23x15
= 220x245
=220+45
=265
viết về 1 lũy thừa
a) 4^10 . 8^15
b) 4^15. 5^30
c) 27^16.9^10
d) A = 72^3. 5^42 / 108^4
e) 3^10.11+3^10.5 / 3^9.2^4
Tính :
D = \(\dfrac{72^3.54^2}{108^4}\)
Tính giá trị các biểu thức sau
d) \(\frac{72^3.54^2}{108^4}\)
e) \(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
Tính:
a) \(\dfrac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)
b) T=\(\dfrac{5^{16}.27^7}{125^5.9^{11}}\)
Tính:
a) -5/7(14/5 - 7/10) : |-2/3| - 3/4(8/9 + 16/3) + 10/3(1/3 + 1/5)
b) 17/-26(1/6 - 5/3) : 17/13 - 20/3(2/5 - 1/4) + 2/3(6/5 - 9/2)
c) -8/9(9/8 - 3/2) + 5/4 : (5/2 - 15/4) - 3/4(10/9 - 8/3) : (-1/3)
d) 21/10 : (12/5 - 9/10) . (-4/7) - 3/2(1/6 - 7/12) + 1/5(3/2 - 1/4)
1) Cho 3x-2y/4=2z-4x/3=ay-3z/2.chứng tỏ x/2=y/3=z/4
2) tìm x,y,z biết x+16/9=y-25/16=z+9/25 và (2x^3)-1=15
3) cho a/b=c/d chứng tỏ (a-b/c-d)^2=ab/cd và (a+b/c+d)^3=a^3-b^3/c^3-d^3
4) Cmr:
10^n-18n-1 chia het cho 27
27^8-3^21 chia het cho 26
8^12-2^33-2^30 chia het cho 53
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)
4.Tinh
a,\(\frac{4^{30}.3^{43}}{2^{53}.27^{15}}\)
b,\(\frac{\left(-27\right)^{10}.16^{25}}{6^{30}.\left(-32\right)^{15}}\)
c,\(\left(\frac{-2}{17}\right)^3.\left(\frac{-17}{35}\right)^3.\left(\frac{35}{3}\right)^3\)
d,\(\frac{3^{31}.25^8-9^{14}.5^{15}}{27^{10}.5^{15}-3^{30}.5^{17}}\)
e,\(2^{^2}+4^{^2}+6^2+..........+24^2\left(1^2+2^2+3^2+....+12^2=650\right)\)
rút gọn phân số
a, 9^2*25^2/15^4*2
b, -4*75^2+4*72^2/-18^2
c, 4^6*9^5+6^9*120/8^4*3^12-3^11
d, (3*4*2^16)^2:(11*2^13*4^11-16^9