Question

Scrie, sub formă de putere, numărul :
$a \: = \: 15 {}^{2} \times 5 {}^{3} \div 3 {}^{2}$
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Answer 1

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$a = {15}^{2} \times {5}^{3} \div {3}^{2} \\ a = (5 \times {3})^{2} \times {5}^{3} \div {3}^{2} \\ a = {5}^{2} \times {3}^{2} \times {5}^{3} \div {3}^{2} \\ {3}^{2} \div {3}^{2} = 1 \\ \\ \\ ne \: ramane \: = > a = {5}^{2} \times {5}^{3} \\ a = {5}^{5}$

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Answer 2

Răspuns:

$\bf a = 15^{2} \cdot 5^{3}:3^{2}$

$\bf a = \big(5 \cdot3 \big)^{2} \cdot 5^{3}:3^{2}$

$\bf a = 5^{2} \cdot3^{2} \cdot 5^{3}:3^{2}$

$\bf a = 5^{2 + 3} \cdot3^{2}:3^{2}$

$\bf a = 5^{5} \cdot3^{2 - 2}$

$\bf a = 5^{5} \cdot3^{0}$

$\bf a = 5^{5} \cdot1$

$\red{ \underline{\bf a = 5^{5} }}$