Basic Math Examples

$\frac{11 - | 7 - 10 | + 4^{2}}{4^{2 - 7}}$

Step 1

Move $4^{2 - 7}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$(11 - | 7 - 10 | + 4^{2}) \cdot 4^{- (2 - 7)}$

Step 2

Simplify each term.

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Step 2.1

Subtract $10$ from $7$ .

$(11 - | - 3 | + 4^{2}) \cdot 4^{- (2 - 7)}$

Step 2.2

The absolute value is the distance between a number and zero. The distance between $- 3$ and $0$ is $3$ .

$(11 - 1 \cdot 3 + 4^{2}) \cdot 4^{- (2 - 7)}$

Step 2.3

Multiply $- 1$ by $3$ .

$(11 - 3 + 4^{2}) \cdot 4^{- (2 - 7)}$

Step 2.4

Raise $4$ to the power of $2$ .

$(11 - 3 + 16) \cdot 4^{- (2 - 7)}$

Step 3

Simplify the expression.

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Step 3.1

Subtract $3$ from $11$ .

$(8 + 16) \cdot 4^{- (2 - 7)}$

Step 3.2

Add $8$ and $16$ .

$24 \cdot 4^{- (2 - 7)}$

Step 3.3

Subtract $7$ from $2$ .

$24 \cdot 4^{- - 5}$

Step 3.4

Multiply $- 1$ by $- 5$ .

$24 \cdot 4^{5}$

Step 3.5

Raise $4$ to the power of $5$ .

$24 \cdot 1024$

Step 3.6

Multiply $24$ by $1024$ .

$24576$