Question

1. [324x(-3)la puterea 12:(-3) la puterea 2]:(-9) la puterea 12


${8}^{5} \div ( - {8})^{4}$


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Answer 1

Explicație pas cu pas:

$\left[324 \times ( - 3)^{12} \div ( - 3)^{2} \right] \div (- 9)^{12} = \\ = ({2}^{2} \times {3}^{4} \times 3^{12 - 2}) \div (( {3}^{2}) ^{12}) \\ = {2}^{2} \times {3}^{4 + 10} \div {3}^{24} = {2}^{2} \times {3}^{14 - 24} \\ = {2}^{2} \times {3}^{ - 10} = \frac{ {2}^{2} }{ {3}^{10} }$

${8}^{5} \div ( - {8})^{4} = {8}^{5} \div {8}^{4} = {8}^{5 - 4} = {8}^{1} = 8$