\(12+3\cdot3^5:4-3\)
\(=4\cdot3+3^6\cdot\dfrac{1}{4}-3\)
\(=3\cdot\left(4+3^5\cdot\dfrac{1}{4}-1\right)\)
\(=3\cdot\left(3+3^5\cdot\dfrac{1}{4}\right)\)
\(=3\cdot3\cdot\left(1+3^4\cdot\dfrac{1}{4}\right)\)
\(=9\cdot\dfrac{85}{4}\)
\(=\dfrac{785}{4}\)
_________________
\(90^3-88\cdot3\cdot3^9\cdot3\)
\(=9^3\cdot10^3-88\cdot3^{11}\)
\(=\left(3^2\right)^3\cdot10^3-88\cdot3^{11}\)
\(=3^6\cdot1000-88\cdot3^{11}\)
\(=3^6\cdot\left(1000-88\cdot3^5\right)\)
\(=3^6\cdot-20384\)
\(=-14859936\)
________________
\(10^2+10^3+10^4+10^5+10^6\)
\(=\left(10^2+10^3\right)+\left(10^4+10^5\right)+10^6\)
\(=10^2\cdot\left(1+10\right)+10^4\cdot\left(1+10\right)+10^6\)
\(=11\cdot\left(10^2+10^4\right)+10^6\)
\(=11\cdot\left(100+10000\right)+10^6\)
\(=11\cdot10100+1000000\)
\(=111100+1000000\)
\(=1111100\)
_______________
\(7-3:2\cdot7^{10}\)
\(=7\cdot\left(1-\dfrac{3}{2}\cdot7^9\right)\)
\(=7\cdot-60530409,5\)
\(=-423712866,5\)
