Question

(3⁴)⁵:(9³)²=
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Answer 1

$( {3}^{4} ) {}^{5} \div (9 {}^{3}) {}^{2} = \\ = {3}^{4 \times 5} \div 9 {}^{3 \times 2} = \\ = {3}^{20} \div 9 {}^{6} = \\ = 3 {}^{20} \div (3 {}^{2} ) {}^{6 } = \\ = {3}^{20} \div {3}^{12} = \\ = {3}^{20 - 12} = \\ = {3}^{8}$