Răspuns:
[tex]{( {3}^{19} \times {25}^{9} ) }^{2} \div {15}^{36} ={ ( {3}^{19} \times {5}^{18} ) }^{2} \div {15}^{36} = {(3 \times {3}^{18} \times {5}^{18} })^{2} \div {15}^{36} = {(3 \times {15}^{18} )}^{2} \div {15}^{36} = {3}^{2} \times {15}^{36} \div {15}^{36} = {3}^{2} = 9[/tex]
(3¹⁹ₓ25⁹)² : 15³⁶ =
= 3³⁸ₓ25¹⁸ : 15³⁶
= 3³⁸ₓ5³⁶ : 3³⁶ₓ5³⁶
= 3³⁸⁻³⁶ₓ5³⁶⁻³⁶
= 3²ₓ5⁰
= 9ₓ1
= 9
