Matematika

meow

[tex]\displaystyle\bf~ {( \frac{ \sqrt{25} }{ {5}^{3} } )}^{ - 2} \times \frac{ \frac{2}{5} }{ \frac{2}{15} } = ....?[/tex]


jawab miaw ฅ^•ﻌ•^ฅ​



meow

[tex]\displaystyle\bf~ {( \frac{ \sqrt{25} }{ {5}^{3} } )}^{ - 2} \times \frac{ \frac{2}{5} }{ \frac{2}{15} } = ....?[/tex]


jawab miaw ฅ^•ﻌ•^ฅ​

[tex]\displaystyle\bf~ {( \frac{ \sqrt{25} }{ {5}^{3} } )}^{ - 2} \times \frac{ \frac{2}{5} }{ \frac{2}{15} } [/tex]

[tex]\displaystyle\bf~ {( \frac{5}{ {5 \times 5 \times 5} } )}^{ - 2} \times \frac{2}{5} \div \frac{2}{15} [/tex]

[tex]\displaystyle\bf~ {( \frac{5}{ {25 \times 5} } )}^{ - 2} \times \frac{2}{5} \times \frac{15}{2} [/tex]

[tex]\displaystyle\bf~ {( \frac{5}{ {125} } )}^{ - 2} \times \frac{2 \times 15}{5 \times 2} [/tex]

[tex]\displaystyle\bf~ {( \frac{5 \div 5}{ {125 \div 5} } )}^{ - 2} \times \frac{30}{10} [/tex]

[tex]\displaystyle\bf~ {( \frac{1}{ {25} } )}^{ - 2} \times \frac{30}{10} [/tex]

[tex] ({25}^{ - 1} )^{ - 2} \times 3[/tex]

[tex] {25}^{ - 1 × - 2} \times 3[/tex]

[tex] {25}^{ 2 } \times 3[/tex]

[tex] ( 25 × 25 )\times 3[/tex]

[tex] 625 \times 3[/tex]

[tex]\bold{\underline{\green{ \tt \sf 1.875}}}[/tex]

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Jawaban:

1875

Penjelasan dengan langkah-langkah:

[tex] { (\frac{ \sqrt{25} }{ {5}^{3} } })^{ - 2} \times \frac{ \frac{2}{5} }{ \frac{2}{15} } [/tex]

[tex] {( \frac{5}{ {5}^{3} } })^{ - 2} \times ( \frac{2}{5} \times \frac{15}{2} )[/tex]

[tex] {( \frac{1}{ {5}^{2} } })^{ - 2} \times 3[/tex]

[tex] {( {5}^{ - 2} })^{ - 2} \times 3[/tex]

[tex] {5}^{4} \times 3[/tex]

[tex]625 \times 3[/tex]

[tex]1875[/tex]

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