1. Tính
\(\left(0,25\right)^4.1024\)
2. So sánh
\(2^{91}\) và \(5^{35}\)
3. Tìm giá trị biểu thức
a) \(\dfrac{45^{10}.5^{20}}{75^{15}}\) b) \(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\) c) \(\dfrac{2^{15}.9^4}{6^6.8^3}\)
1.Tính
(0,25)4.1024=(1/4)4.1024=4
2.So sánh
291=(213)7=81927
535=(55)7=31257
Mà 8192>3125=> 81927>31257
=> 291>535
a) \(\dfrac{45^{10^{ }}.5^{20^{ }}}{75^{15}}=\dfrac{\left(3^{2^{ }}.5\right)^{10^{ }}.5^{20}}{^{ }\left(3.5^2\right)^{15}}=\dfrac{3^{20}.5^{30}}{3^{15}.5^{30}}=3^5=243\)
b)\(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}=\dfrac{\left(2.0,4\right)^5}{0,4.0,4^5}=\dfrac{2^{5^{ }}.0,4^5}{0,4.0,4^5}=\dfrac{2^5}{0,4}=80\)
c)\(\dfrac{2^{15}.9^4}{6^6.8^3}=\dfrac{2^{15^{ }}.3^8}{3^6.2^6.2^9}=\dfrac{2^{15}.3^8}{3^6.2^{15}}=3^2=9\)
Tic hộ tui đi !!! chúc bn hok tôts
\(B=\dfrac{6^6+6^3.3^3+3^6}{-73}\)
Bài 1 : Tìm x biết :
a, x:(3/4)^3=(3/4)^2
b, (2/5)^5.x=(2/5)^8
Bài 2:
(0,36)8 và (0,216)4
dưới dạng lũy thừ của cơ số 0,6
Bài 3 : Tính m,n,p biết :
a, (1/3)m=1/81
b, (3/5)^n=(9/25)^5
c, (-0,25)p=1/256
Giúp mình với mai mình cần rồi !!!~~~~~
Bài 1:Tính giá trị biểu thức
\(_{1,}\)\(3^2.\dfrac{1}{243}.81^2.\dfrac{1}{3^3}\)
\(_{2,}\)(\(4.2^5\)):\(\left(2^3.\dfrac{1}{16}\right)\)
\(_{3,}\)\(\left(2^{-1}+3^{-1}\right)+\left(2^{-1}.2^0\right):2^3\)
\(_{4,}\)\(\left(-\dfrac{1}{3}\right)^{-1}-\left(-\dfrac{6}{7}\right)^0+\left(\dfrac{1}{2}\right)^2:2\)
\(_{5,}\)[(0,1)\(^2\)]\(^0\)+[(\(\dfrac{1}{7}\))\(^{-1}\)]\(^2\).\(\dfrac{1}{49}.\left[\left(2^2\right)^3:2^5\right]\)
Bài 2:Rút gọn biểu thức
a,\(\dfrac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)
b,\(\dfrac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
c,\(\left(\dfrac{2}{5}\right)^7.5^7+\left(\dfrac{9}{4}\right)^3:\left(\dfrac{3}{16}\right)^3\)
\(\overline{2^7.5^2+512}\)
d,\(\left(\dfrac{2}{3}\right)^3.\left(-\dfrac{3}{4}\right)^2.\left(-1\right)^5\)
\(\overline{\left(\dfrac{2}{5}\right)^2}.\left(-\dfrac{5}{12}\right)^3\)
Tìm x, biết:
a, \(\left(2x-1\right)^{10}=\left(1-2x\right)^5\)
\(b,\) \(\left(3x-1\right)^{15}=\left(1-3x\right)^8\)
c, \(\left(5x-3\right)^4+3=5\)
Tìm x biết:
a, \(81^{-2x}.27^x=9^5\)
b, \(2^x+2^{x+3}=144\)
c, \(2^{x-1}+5.2^{x-2}=7.32\)
Tính : 3^7.2^8 / 6^7
Bài 1:1)\(\left(\dfrac{-3}{2}\right)^x\)=\(\dfrac{9}{4}\)
2)\(3^{2x+2}=9^{10}\)
3)\(3^{3-2x}=27^{13}\)
4)\(5.3^x=7.3^5-2.3^5\)
Giúp mk với
Tính m , n ,p biết :
a) \(\left(\dfrac{1}{3}\right)^m=\dfrac{1}{81}\) b) \(\left(\dfrac{3}{5}\right)^n=\left(\dfrac{9}{25}\right)^5\)
c) \(\left(-0,25\right)^p=\dfrac{1}{256}\)
1. Tính:
C= \(\left(\dfrac{1}{2^2-1}\right)\left(\dfrac{1}{3^2-1}\right)\left(\dfrac{1}{4^2-1}\right)-.\left(\dfrac{1}{100^2-1}\right)\)
2. Tìm x:
\(\left(\dfrac{2}{5}\right)^x>\left(\dfrac{5}{2}\right)^{-3}.\left(\dfrac{-2}{5}\right)^2\)
Help me!!!
(X+1):25=4:(X+2)
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