Explicație pas cu pas:
[tex] \bf \big( {2}^{10} \cdot {3}^{7} \big)^{9} : \big( {2}^{5} \cdot {3}^{6} \big)^{10} = [/tex]
[tex] \bf \big( {2}^{10 \cdot9} \cdot {3}^{7\cdot9} \big): \big( {2}^{5\cdot10} \cdot {3}^{6\cdot10} \big) = [/tex]
[tex] \bf \big( {2}^{90} \cdot {3}^{63} \big): \big( {2}^{50} \cdot {3}^{60} \big) = [/tex]
[tex] \bf \big( {2}^{90 - 50} \cdot {3}^{63 - 60} \big) = \red{\boxed{ \bf\red{{2}^{40} \cdot {3}^{3} }}}[/tex]
