Basic Math Examples

({(16 - 14)}^{3} + {(13 - 18)}^{2}) \div {(7 - 8)}^{2} \cdot (9 - 20)

$({(16 - 14)}^{3} + {(13 - 18)}^{2}) \div {(7 - 8)}^{2} \cdot (9 - 20)$

Step 1

Simplify the numerator.

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Step 1.1

Subtract

14

$14$ from

16

$16$ .

(2^{3} + {(13 - 18)}^{2}) \div {(7 - 8)}^{2} \cdot (9 - 20)

$(2^{3} + {(13 - 18)}^{2}) \div {(7 - 8)}^{2} \cdot (9 - 20)$

Step 1.2

Raise

2

$2$ to the power of

3

$3$ .

(8 + {(13 - 18)}^{2}) \div {(7 - 8)}^{2} \cdot (9 - 20)

$(8 + {(13 - 18)}^{2}) \div {(7 - 8)}^{2} \cdot (9 - 20)$

Step 1.3

Subtract

18

$18$ from

13

$13$ .

(8 + {(- 5)}^{2}) \div {(7 - 8)}^{2} \cdot (9 - 20)

$(8 + {(- 5)}^{2}) \div {(7 - 8)}^{2} \cdot (9 - 20)$

Step 1.4

Raise

- 5

$- 5$ to the power of

2

$2$ .

(8 + 25) \div {(7 - 8)}^{2} \cdot (9 - 20)

$(8 + 25) \div {(7 - 8)}^{2} \cdot (9 - 20)$

Step 1.5

Add

8

$8$ and

25

$25$ .

33 \div {(7 - 8)}^{2} \cdot (9 - 20)

$33 \div {(7 - 8)}^{2} \cdot (9 - 20)$

33 \div {(7 - 8)}^{2} \cdot (9 - 20)

$33 \div {(7 - 8)}^{2} \cdot (9 - 20)$

Step 2

Simplify the denominator.

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Step 2.1

Subtract

8

$8$ from

7

$7$ .

33 \div {(- 1)}^{2} \cdot (9 - 20)

$33 \div {(- 1)}^{2} \cdot (9 - 20)$

Step 2.2

Raise

- 1

$- 1$ to the power of

2

$2$ .

33 \div 1 \cdot (9 - 20)

$33 \div 1 \cdot (9 - 20)$

33 \div 1 \cdot (9 - 20)

$33 \div 1 \cdot (9 - 20)$

Step 3

Simplify the expression.

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Step 3.1

Divide

33

$33$ by

1

$1$ .

33 \cdot (9 - 20)

$33 \cdot (9 - 20)$

Step 3.2

Subtract

20

$20$ from

9

$9$ .

33 \cdot - 11

$33 \cdot - 11$

Step 3.3

Multiply

33

$33$ by

- 11

$- 11$ .

- 363

$- 363$

- 363

$- 363$