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Scrie, sub formă de putere, numărul :
[tex]a \: = \: 15 {}^{2} \times 5 {}^{3} \div 3 {}^{2}[/tex]


Răspuns :

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[tex]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} [/tex]

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Răspuns:

[tex] \bf a = 15^{2} \cdot 5^{3}:3^{2}[/tex]

[tex]\bf a = \big(5 \cdot3 \big)^{2} \cdot 5^{3}:3^{2}[/tex]

[tex]\bf a = 5^{2} \cdot3^{2} \cdot 5^{3}:3^{2}[/tex]

[tex]\bf a = 5^{2 + 3} \cdot3^{2}:3^{2}[/tex]

[tex]\bf a = 5^{5} \cdot3^{2 - 2}[/tex]

[tex]\bf a = 5^{5} \cdot3^{0}[/tex]

[tex]\bf a = 5^{5} \cdot1[/tex]

[tex] \red{ \underline{\bf a = 5^{5} }}[/tex]