- 6.32 -24 : 23
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\(B=8^3\times81^4\div9^6\times32=\left(2^3\right)^3\times\left(3^4\right)^4\div\left(3^2\right)^6\times2^5=2^9\times3^{16}\div3^{12}\times2^5=2^{14}\times3^4\)
\(8^3.81^4:9^6.32=\left(2^3\right)^3.\left(3^4\right)^4:\left(3^2\right)^6.2^5=2^9.3^{16}:3^{12}.2^5=\left(2^9.2^5\right).\left(3^{16}:3^{12}\right)=2^{14}.3^4\)
\(\frac{27^2.8^5}{6^6.32^3}=\frac{\left(3^3\right)^2.\left(2^3\right)^5}{2^6.3^6.\left(2^5\right)^3}\)
\(=\frac{3^6.2^{15}}{2^6.3^6.2^{15}}\)
\(=\frac{1}{2^6}\)
\(\frac{27^2.8^5}{6^6.32^3}=\frac{\left(3^3\right)^2.\left(2^3\right)^5}{\left(2.3\right)^6.\left(2^5\right)^3}=\frac{3^6.2^{15}}{2^6.3^6.2^{15}}=\frac{1}{2^6}=\frac{1}{64}\)
`@` `\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,`
\(125^4\div5^9=\left(5^3\right)^4\div5^9=5^{12}\div5^9=5^3\)
22 + 23 + 24
= 45 + 24
= 69.
23 + 24 + 25
Ta thấy ở phép tính trước thì có 23 ; 24 nên ta lấy 25 - 22 = 3
=> Tổng này tăng 3
=> Tổng là: 69 + 3 = 72
6.3^2-24:2^3=6.9-24:8=54-3=51 :D Học tốt nha !
6.3^2-24:2^3
=6.9-24:8
=54-3
=51