Question

3³+3¹⁰:3⁸x3+3x3⁷:3⁵+3¹⁰:(5x3⁵+3⁵)+9x3³​

Answer 1

           

$\bf 3^{3}+3^{10}:3^{8}\cdot 3+3\cdot3^{7}:3^{5}+3^{10}:\big(5\cdot3^{5}+3^{5}\big)+9\cdot3^{3}=$

$\bf 3^{3}+3^{10-8+1}+3^{1+7-5}+3^{10}:\Big[3^{5}\cdot\big(5\cdot3^{5-5}+3^{5-5}\big)\Big]+3^{2}\cdot3^{3}=$

$\bf 3^{3}+3^{3}+3^{3}+3^{10}:\Big[3^{5}\cdot\big(5\cdot3^{0}+3^{0}\big)\Big]+3^{2+3}=$

$\bf 3^{3}\cdot\Big(3^{3-3}+3^{3-3}+3^{3-3}\Big)+3^{10}:\Big[3^{5}\cdot\big(5\cdot1+1\big)\Big]+3^{5}=$

$\bf 3^{3}\cdot\Big(3^{0}+3^{0}+3^{0}\Big)+3^{10}:\Big(3^{5}\cdot6\Big)+3^{5}=$

$\bf 3^{3}\cdot\Big(1+1+1\Big)+3^{10}:\Big(3^{5}\cdot 3\cdot 2\Big)+3^{5}=$

$\bf 3^{3}\cdot 3+3^{10}:\Big(3^{5+1}\cdot 2\Big)+3^{5}=$

$\bf 3^{3+1}+3^{10}:\big(3^{6}\cdot 2\big)+3^{5}=$

$\bf 3^{4}+3^{10}:\big(3^{6}\cdot 2\big)+3^{5}=$

$\bf 3^{4}\cdot\big(3^{4-4}+3^{5-4}\big)+3^{10}:3^{6}\cdot 2=$

$\bf 3^{4}\cdot\big(3^{0}+3^{1}\big)+3^{10-6}: 2=$

$\bf 3^{4}\cdot\big(1+3\big)+3^{4}: 2=$

$\bf 3^{4}\cdot4+3^{4}: 2=$

$\bf 3^{4}\cdot\big(3^{4-4}\cdot4+3^{4-4}: 2\big)=$

$\bf 3^{4}\cdot\big(3^{0}\cdot4+3^{0}: 2\big)=$

$\bf 3^{4}\cdot\big(1\cdot4+1: 2\big)=$

$\red{\underline{\bf~ 3^{4}\cdot\big(4+1: 2\big)~}}$