Question

(2x3)x(2²x3)x(2⁴x3)x(2⁵x3) cele de sus sunt puteri va rog ajutai ma​

Answer 1

Răspuns:

= $2^{1+2+4+5}$ × $3^{1+1+1+1}$

= 2¹² × 3⁴

Answer 2

Explicație pas cu pas:

$(2 \cdot 3) \cdot ( {2}^{2} \cdot 3) \cdot ( {2}^{4} \cdot 3) \cdot ( {2}^{5} \cdot 3) =$

$= (2 \cdot {2}^{2} \cdot {2}^{4} \cdot {2}^{5}) \cdot (3 \cdot 3 \cdot 3 \cdot 3)$

$= {2}^{1 + 2 + 4 + 5} \cdot {3}^{4} = \bf {2}^{12} \cdot {3}^{4}$

$= {( {2}^{3} )}^{4} \cdot {3}^{4} = {( {2}^{3} \cdot 3)}^{4} = \bf {24}^{4}$