Basic Math Examples

$(7 \cdot 3^{7} \cdot 81^{2} - 5 \cdot 27^{3} \cdot 3^{4}) \div 29 \cdot 3^{12} \cdot 9$

Step 1

Simplify the numerator.

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Step 1.1

Raise $3$ to the power of $7$ .

$(7 \cdot 2187 \cdot 81^{2} - 5 \cdot 27^{3} \cdot 3^{4}) \div 29 \cdot 3^{12} \cdot 9$

Step 1.2

Multiply $7$ by $2187$ .

$(15309 \cdot 81^{2} - 5 \cdot 27^{3} \cdot 3^{4}) \div 29 \cdot 3^{12} \cdot 9$

Step 1.3

Raise $81$ to the power of $2$ .

$(15309 \cdot 6561 - 5 \cdot 27^{3} \cdot 3^{4}) \div 29 \cdot 3^{12} \cdot 9$

Step 1.4

Multiply $15309$ by $6561$ .

$(100442349 - 5 \cdot 27^{3} \cdot 3^{4}) \div 29 \cdot 3^{12} \cdot 9$

Step 1.5

Raise $27$ to the power of $3$ .

$(100442349 - 5 \cdot 19683 \cdot 3^{4}) \div 29 \cdot 3^{12} \cdot 9$

Step 1.6

Multiply $- 5$ by $19683$ .

$(100442349 - 98415 \cdot 3^{4}) \div 29 \cdot 3^{12} \cdot 9$

Step 1.7

Raise $3$ to the power of $4$ .

$(100442349 - 98415 \cdot 81) \div 29 \cdot 3^{12} \cdot 9$

Step 1.8

Multiply $- 98415$ by $81$ .

$(100442349 - 7971615) \div 29 \cdot 3^{12} \cdot 9$

Step 1.9

Subtract $7971615$ from $100442349$ .

$92470734 \div 29 \cdot 3^{12} \cdot 9$

Step 2

Simplify the expression.

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Step 2.1

Divide $92470734$ by $29$ .

$3188646 \cdot 3^{12} \cdot 9$

Step 2.2

Raise $3$ to the power of $12$ .

$3188646 \cdot 531441 \cdot 9$

Step 3

Multiply $3188646 \cdot 531441 \cdot 9$ .

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Step 3.1

Multiply $3188646$ by $531441$ .

$1694577218886 \cdot 9$

Step 3.2

Multiply $1694577218886$ by $9$ .

$15251194969974$