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calculati 5×(3 la puterea a 2×3 la puterea4)totul la puterea a 2÷9 la puterea a 6

Răspuns :

[tex]5 \times{ ( {3}^{2} \times {3}^{4} )}^{2} \div {9}^{6} [/tex]

[tex] = 5 \times { ({3}^{2 + 4} )}^{2} \div { ({3}^{2} )}^{6} [/tex]

[tex] = 5 \times {( {3}^{6} )}^{2} \div {3}^{2 \times 6} [/tex]

[tex] = 5 \times {3}^{6 \times 2} \div {3}^{12} [/tex]

[tex] = 5 \times {3}^{12} \div {3}^{12} [/tex]

[tex]=5 \times 1[/tex]

[tex]=5[/tex]