Question

Simplifique (2×3²)⁵÷(4×6)⁶

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Answer 1

Explicação passo-a-passo:

$\frac{ {(2 \times {3}^{2} )}^{5} }{ {(4 \times 6)}^{6} } = \frac{ {2}^{5} \times {( {3}^{2}) }^{5} }{ { ({2}^{2} )}^{6} \times (3 \times 2) {}^{6} } = \frac{ {2}^{5} \times {3}^{10} }{ {2}^{12} \times {3}^{6} \times {2}^{6} } = \frac{ {2}^{5} \times {3}^{10} }{ {2}^{18} \times {3}^{6} } = \frac{ {2}^{5} }{ {2}^{18} } \times \frac{ {3}^{10} }{ {3}^{6} } = {2}^{ -13} \times {3}^{4}$