Matemática discreta Ejemplos

$\frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 1

Multiplica $\frac{9}{10} \cdot \frac{9}{10}$ .

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Paso 1.1

Multiplica $\frac{9}{10}$ por $\frac{9}{10}$ .

$\frac{9 \cdot 9}{10 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 1.2

Multiplica $9$ por $9$ .

$\frac{81}{10 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 1.3

Multiplica $10$ por $10$ .

$\frac{81}{100} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 2

Multiplica $\frac{81}{100} \cdot \frac{9}{10}$ .

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Paso 2.1

Multiplica $\frac{81}{100}$ por $\frac{9}{10}$ .

$\frac{81 \cdot 9}{100 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 2.2

Multiplica $81$ por $9$ .

$\frac{729}{100 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 2.3

Multiplica $100$ por $10$ .

$\frac{729}{1000} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 3

Multiplica $\frac{729}{1000} \cdot \frac{9}{10}$ .

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Paso 3.1

Multiplica $\frac{729}{1000}$ por $\frac{9}{10}$ .

$\frac{729 \cdot 9}{1000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 3.2

Multiplica $729$ por $9$ .

$\frac{6561}{1000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 3.3

Multiplica $1000$ por $10$ .

$\frac{6561}{10000} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 4

Multiplica $\frac{6561}{10000} \cdot \frac{9}{10}$ .

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Paso 4.1

Multiplica $\frac{6561}{10000}$ por $\frac{9}{10}$ .

$\frac{6561 \cdot 9}{10000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 4.2

Multiplica $6561$ por $9$ .

$\frac{59049}{10000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 4.3

Multiplica $10000$ por $10$ .

$\frac{59049}{100000} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 5

Multiplica $\frac{59049}{100000} \cdot \frac{9}{10}$ .

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Paso 5.1

Multiplica $\frac{59049}{100000}$ por $\frac{9}{10}$ .

$\frac{59049 \cdot 9}{100000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 5.2

Multiplica $59049$ por $9$ .

$\frac{531441}{100000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 5.3

Multiplica $100000$ por $10$ .

$\frac{531441}{1000000} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 6

Multiplica $\frac{531441}{1000000} \cdot \frac{9}{10}$ .

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Paso 6.1

Multiplica $\frac{531441}{1000000}$ por $\frac{9}{10}$ .

$\frac{531441 \cdot 9}{1000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 6.2

Multiplica $531441$ por $9$ .

$\frac{4782969}{1000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 6.3

Multiplica $1000000$ por $10$ .

$\frac{4782969}{10000000} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 7

Multiplica $\frac{4782969}{10000000} \cdot \frac{9}{10}$ .

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Paso 7.1

Multiplica $\frac{4782969}{10000000}$ por $\frac{9}{10}$ .

$\frac{4782969 \cdot 9}{10000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 7.2

Multiplica $4782969$ por $9$ .

$\frac{43046721}{10000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 7.3

Multiplica $10000000$ por $10$ .

$\frac{43046721}{100000000} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 8

Multiplica $\frac{43046721}{100000000} \cdot \frac{9}{10}$ .

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Paso 8.1

Multiplica $\frac{43046721}{100000000}$ por $\frac{9}{10}$ .

$\frac{43046721 \cdot 9}{100000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 8.2

Multiplica $43046721$ por $9$ .

$\frac{387420489}{100000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 8.3

Multiplica $100000000$ por $10$ .

$\frac{387420489}{1000000000} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 9

Multiplica $\frac{387420489}{1000000000} \cdot \frac{9}{10}$ .

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Paso 9.1

Multiplica $\frac{387420489}{1000000000}$ por $\frac{9}{10}$ .

$\frac{387420489 \cdot 9}{1000000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 9.2

Multiplica $387420489$ por $9$ .

$\frac{3486784401}{1000000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 9.3

Multiplica $1000000000$ por $10$ .

$\frac{3486784401}{10000000000} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Paso 10

Multiplica $\frac{3486784401}{10000000000} \cdot \frac{9}{10}$ .

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Paso 10.1

Multiplica $\frac{3486784401}{10000000000}$ por $\frac{9}{10}$ .

$\frac{3486784401 \cdot 9}{10000000000 \cdot 10} \cdot \frac{9}{10}$

Paso 10.2

Multiplica $3486784401$ por $9$ .

$\frac{31381059609}{10000000000 \cdot 10} \cdot \frac{9}{10}$

Paso 10.3

Multiplica $10000000000$ por $10$ .

$\frac{31381059609}{100000000000} \cdot \frac{9}{10}$

Paso 11

Multiplica $\frac{31381059609}{100000000000} \cdot \frac{9}{10}$ .

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Paso 11.1

Multiplica $\frac{31381059609}{100000000000}$ por $\frac{9}{10}$ .

$\frac{31381059609 \cdot 9}{100000000000 \cdot 10}$

Paso 11.2

Multiplica $31381059609$ por $9$ .

$\frac{282429536481}{100000000000 \cdot 10}$

Paso 11.3

Multiplica $100000000000$ por $10$ .

$\frac{282429536481}{1000000000000}$

Paso 12

El resultado puede mostrarse de distintas formas.

Forma exacta:

$\frac{282429536481}{1000000000000}$

Forma decimal:

$0.28242953 \dots$