a) =\(\left(\frac{1}{4}\right)^3\cdot2^5=\frac{1}{2^6}2^5=0,5\)

b) \(=\left(\frac{1}{8}\right)^3\cdot8^4\cdot10^4=80.000\)

c) \(=8^2\cdot\frac{4^5}{2^{20}}=\frac{2^6\cdot2^{10}}{2^{20}}=\frac{1}{2^4}=0,0625\)

d) = \(\frac{81^{11}\cdot3^{17}}{27^{10}\cdot9^{15}}=\frac{3^{44}\cdot3^{17}}{3^{30}\cdot3^{30}}=\frac{3^{61}}{3^{60}}=3\)

a) 81^11.3^17/27^10.9^15

=(9^2)^11.3^17/(3^3)^10.9^15

=3^44.3^17/3^30.3^30

=3^61/3^60

=3

b) A =( (2^12.3^5 - 2^12.3^4)/ (2^12.3^6 + 2^12.3^5) ) - ((5^10.7^3 - 5^10.7^4)/(5^9.7^3 + 5^9.2^3.7^3))

=(2^12.3^4(3-1))/2^12.3^5(3+1) - 5^10.7^3(1-7)/5^9.7^3(1+8)

=2/12- (-30/9)=1/6 + 10/3 = 7/2

3/6, /8,4/6

\left(4\dfrac{4}{9} + 5\dfrac{4}{11}\right) -1\dfrac{4}{9} =(494​+5114​)−194​

Bài 2: 

a: \(\left(0.25\right)^3\cdot32=\dfrac{1}{4^3}\cdot32=\dfrac{32}{64}=\dfrac{1}{2}\)

b: \(\left(-0.125\right)^3\cdot80^4=\left(-0.125\cdot80\right)^3\cdot80=-80\)

c: \(\dfrac{8^2\cdot4^5}{2^{20}}=\dfrac{2^6\cdot2^{10}}{2^{20}}=\dfrac{1}{2^4}=\dfrac{1}{16}\)

d: \(\dfrac{81^{11}\cdot3^{17}}{27^{10}\cdot9^{15}}=\dfrac{3^{44}\cdot3^{17}}{3^{30}\cdot3^{30}}=\dfrac{3^{61}}{3^{60}}=3\)

a)\(\frac{15\times3^5}{27^3\times10^2}=\frac{5\times3^6}{3^9\times5\times20}=\frac{1}{3^3\times20}=\frac{1}{540}\)

b) đề thiếu

c) \(\frac{81^{14}\times3^{17}}{27^{10}\times9^{15}}=\frac{\left(9^2\right)^{14}\times3^{17}}{3^{10}\times9^{10}\times9^{15}}=\frac{9^{28}\times3^{17}}{3^{10}\times9^{25}}=\frac{9^3\times3^7}{1}=1594323\)

xin lỗi!phần b là 32^2

`@` `\text {Ans}`

`\downarrow`

`a,`

`5.125.25 \div 5^6`

`=`\(5\cdot5^3\cdot5^2\div5^6\)

`=`\(5^{1+3+2-6}=5^{6-6}=5^0=1\) 

`b,`

\(2^{14}\div\left(2^6\cdot32\right)\)

`=`\(2^{14}\div\left(2^6\cdot2^5\right)\)

`=`\(2^{14}\div2^{11}=2^3\)

`c,`

`3.3^5\div 27`

`=`\(3\cdot3^5\div3^3\)

`=`\(3^{1+5-3}\)

`=`\(3^3\) 

`d,`

\(2^{15}\div\left(2^6\cdot32\right)=2^{15}\div\left(2^6\cdot2^5\right)=2^{15}\div2^{11}=2^4\)

`e,`

\(3^2\cdot27\div81=3^2\cdot3^3\div3^4=3\)

`g,`

\(100\cdot1000\cdot10000-10^9=10^2\cdot10^3\cdot10^4-10^9\)

`=`\(10^9-10^9=0\)

`h,`

\(125^4\div5^9=\left(5^3\right)^4\div5^9=5^{12}\div5^9=5^3\)

a) 1

b) 8

c) 27

d) 16

e) 3

g) 0

h) 125

lắm câu thế làm hết sao đc

ban tu lam di,luoi the

bai ki vay ,

[3^17.81^11]/[27^10.9^15]

=[3^17.(3^4)^11]/[(3^3)^10.(3^2)^15]

=[3^17.3^44]/[3^30.3^30]

=3^61/3^60

=3

\(\frac{3^{17}.81^{11}}{27^{10}.9^{15}}\)

\(=\)\(\frac{3^{17}.\left(3^4\right)^{11}}{\left(3^3\right)^{10}.\left(3^2\right)^{15}}\)

\(=\)\(\frac{3^{17}.3^{44}}{3^{30}.3^{30}}\)

\(=\)\(\frac{3^{61}}{3^{60}}\)

\(=\)\(3\)

A,\(8^2.4^5:2^{20}=\left(2^3\right)^2.\left(2^2\right)^5:2^{20}=2^6.2^{10}:2^{20}=\frac{2^{16}}{2^{20}}=\frac{1}{16}\)

nhan đúng nha