Question

evaluate 2⁵⁵ × 2⁶⁰ - 2⁹⁷ × 2¹⁸​

Answer 1

${\large{\overbrace{\underbrace{\purple{your \: answer:0}}}}}$

$\bf\red{ {2}^{55} \times {2}^{60} - {2}^{97} \times {2}^{18} } \\ \\ \bf\pink{ \underline{using \: formula \: {a}^{m} \times {a}^{n} = {a}^{m + n} }} \\ \\ \bf\green{ \leadsto: {2}^{55 + 60} - {2}^{97 + 18} } \\ \\ \bf\orange{ \leadsto: {2}^{115} - {2}^{115} } \\ \\ \bf\red{ \boxed{ \leadsto:0 }} \\ \\ \\ \bf\pink{ \underline{important \: formula \implies}} \\ \\ \bf\purple{ \bigstar {a}^{m} \times {a}^{n} = {a}^{m + n} } \\ \\ \bf\pink{ \bigstar \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} } \\ \\ \bf\blue{ { {a}^{m} }^{n} = {a}^{mn} }$

$\large\boxed{ \fcolorbox{red}{lime}{hope \: it \: help \: you}}$