Basic Math Examples

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

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

Step 1

Simplify the numerator.

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Step 1.1

Raise

3

$3$ to the power of

7

$7$ .

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

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

Step 1.2

Multiply

7

$7$ by

2187

$2187$ .

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

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

Step 1.3

Raise

81

$81$ to the power of

2

$2$ .

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

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

Step 1.4

Multiply

15309

$15309$ by

6561

$6561$ .

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

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

Step 1.5

Raise

27

$27$ to the power of

3

$3$ .

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

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

Step 1.6

Multiply

- 5

$- 5$ by

19683

$19683$ .

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

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

Step 1.7

Raise

3

$3$ to the power of

4

$4$ .

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

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

Step 1.8

Multiply

- 98415

$- 98415$ by

81

$81$ .

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

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

Step 1.9

Subtract

7971615

$7971615$ from

100442349

$100442349$ .

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

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

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

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

Step 2

Simplify the expression.

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Step 2.1

Divide

92470734

$92470734$ by

29

$29$ .

3188646 \cdot 3^{12} \cdot 9

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

Step 2.2

Raise

3

$3$ to the power of

12

$12$ .

3188646 \cdot 531441 \cdot 9

$3188646 \cdot 531441 \cdot 9$

3188646 \cdot 531441 \cdot 9

$3188646 \cdot 531441 \cdot 9$

Step 3

Multiply

3188646 \cdot 531441 \cdot 9

$3188646 \cdot 531441 \cdot 9$ .

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Step 3.1

Multiply

3188646

$3188646$ by

531441

$531441$ .

1694577218886 \cdot 9

$1694577218886 \cdot 9$

Step 3.2

Multiply

1694577218886

$1694577218886$ by

9

$9$ .

15251194969974

$15251194969974$

15251194969974

$15251194969974$