Basic Math Examples

$| 7 (3 - 8) | - | 2 \cdot 2^{2} - 18 |$

Step 1

Simplify each term.

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Step 1.1

Subtract $8$ from $3$ .

$| 7 \cdot - 5 | - | 2 \cdot 2^{2} - 18 |$

Step 1.2

Multiply $7$ by $- 5$ .

$| - 35 | - | 2 \cdot 2^{2} - 18 |$

Step 1.3

The absolute value is the distance between a number and zero. The distance between $- 35$ and $0$ is $35$ .

$35 - | 2 \cdot 2^{2} - 18 |$

Step 1.4

Simplify each term.

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Step 1.4.1

Multiply $2$ by $2^{2}$ by adding the exponents.

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Step 1.4.1.1

Multiply $2$ by $2^{2}$ .

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Step 1.4.1.1.1

Raise $2$ to the power of $1$ .

$35 - | 2^{1} \cdot 2^{2} - 18 |$

Step 1.4.1.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$35 - | 2^{1 + 2} - 18 |$

Step 1.4.1.2

Add $1$ and $2$ .

$35 - | 2^{3} - 18 |$

Step 1.4.2

Raise $2$ to the power of $3$ .

$35 - | 8 - 18 |$

Step 1.5

Subtract $18$ from $8$ .

$35 - | - 10 |$

Step 1.6

The absolute value is the distance between a number and zero. The distance between $- 10$ and $0$ is $10$ .

$35 - 1 \cdot 10$

Step 1.7

Multiply $- 1$ by $10$ .

$35 - 10$

Step 2

Subtract $10$ from $35$ .

$25$