272 x 253 x 25
6 x 154 x 18
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`a, = 5^3 xx 3^3 = 15^3`
`b, = 12^3 xx 4^3 = 48^3`
`c, = 625^3 xx 8^3 = 5000^3`
`d, = 625 ^3 xx 125^3 = 78125^3`
`e, = 5^20 : 5^14 = 5^6`
1,\(125\cdot27=5^3\cdot3^3=\left(5\cdot3\right)^3=15^3\)
2, \(12^3\cdot64=12^3\cdot4^3=\left(12\cdot4\right)^3=48^3\)
3, \(25^6\cdot8^3=\left(5^2\right)^6\cdot\left(2^3\right)^3=5^8\cdot2^9\)
4, \(25^6\cdot125^3=\left(5^2\right)^3\cdot\left(5^3\right)^3=5^6\cdot5^9=5^{15}\)
5,\(625^5:25^7=\left(5^4\right)^5:\left(5^2\right)^7=5^{20}:5^{14}=5^6\)
253 x 75 - 161 x 37 + 253 x 25 - 161 x 63
= 253 x (75 + 25) - 161 x (37 + 63)
=253 x 100 - 161 x 100
=23500 - 16100
=37400
100 x 47 - 12 x 3,5 - 5,8 : 0,1
=4700 - 42 - 58
=4700 - (42 + 58)
=4700 - 100
=4600
\(a,159-\left(25-x\right)=43\)
\(\Leftrightarrow25-x=195-43\)
\(\Leftrightarrow25-x=152\)
\(\Leftrightarrow x=25-152\)
\(\Leftrightarrow x=-127\)
\(b,\left(79-x\right)-43=-\left(17-25\right)\)
\(\Leftrightarrow\left(79-x\right)-43=8\)
\(\Leftrightarrow79-x=8+43\)
\(\Leftrightarrow79-x=51\)
\(\Leftrightarrow x=79-51\Rightarrow x=28\)
\(-\left(-x+13-142\right)+18=55\)
\(\Leftrightarrow-\left(-x+13-142\right)=55-18\)
\(\Leftrightarrow-\left(-x+13-142\right)=37\)
\(\Leftrightarrow x+13-142=37\)
\(\Leftrightarrow x=37+142-13\)
\(\Leftrightarrow x=166\)
\(d,\left(102-15\right)-\left(15-x\right)=6\)
\(\Leftrightarrow87-\left(15-x\right)=6\)
\(\Leftrightarrow15-x=87-6\)
\(\Leftrightarrow15-x=81\Rightarrow x=15-81\)
\(\Leftrightarrow x=-66\)
\(272+\left(146+x\right)=118\)
\(272+146+x=118\)
\(418+x=118\)
\(x=118-418\)
\(x=-300\)