Finite Math Examples

$\frac{3^{4} - 7^{2}}{4^{2} - 2^{3} + 4^{0} - 8}$

Step 1

Simplify the numerator.

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Step 1.1

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

$\frac{81 - 7^{2}}{4^{2} - 2^{3} + 4^{0} - 8}$

Step 1.2

Raise $7$ to the power of $2$ .

$\frac{81 - 1 \cdot 49}{4^{2} - 2^{3} + 4^{0} - 8}$

Step 1.3

Multiply $- 1$ by $49$ .

$\frac{81 - 49}{4^{2} - 2^{3} + 4^{0} - 8}$

Step 1.4

Subtract $49$ from $81$ .

$\frac{32}{4^{2} - 2^{3} + 4^{0} - 8}$

$\frac{32}{4^{2} - 2^{3} + 4^{0} - 8}$

Step 2

Simplify the denominator.

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Step 2.1

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

$\frac{32}{16 - 2^{3} + 4^{0} - 8}$

Step 2.2

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

$\frac{32}{16 - 1 \cdot 8 + 4^{0} - 8}$

Step 2.3

Multiply $- 1$ by $8$ .

$\frac{32}{16 - 8 + 4^{0} - 8}$

Step 2.4

Anything raised to $0$ is $1$ .

$\frac{32}{16 - 8 + 1 - 8}$

Step 2.5

Subtract $8$ from $16$ .

$\frac{32}{8 + 1 - 8}$

Step 2.6

Add $8$ and $1$ .

$\frac{32}{9 - 8}$

Step 2.7

Subtract $8$ from $9$ .

$\frac{32}{1}$

$\frac{32}{1}$

Step 3

Divide $32$ by $1$ .

$32$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$