Algebra Examples

$\frac{2^{3} (3^{2} - 2^{0})}{(2^{3} - 3^{2})}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

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

$\frac{2^{3} (9 - 2^{0})}{2^{3} - 3^{2}}$

Step 1.2

Anything raised to $0$ is $1$ .

$\frac{2^{3} (9 - 1 \cdot 1)}{2^{3} - 3^{2}}$

Step 1.3

Multiply $- 1$ by $1$ .

$\frac{2^{3} (9 - 1)}{2^{3} - 3^{2}}$

Step 1.4

Subtract $1$ from $9$ .

$\frac{2^{3} \cdot 8}{2^{3} - 3^{2}}$

Step 1.5

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

$\frac{8 \cdot 8}{2^{3} - 3^{2}}$

$\frac{8 \cdot 8}{2^{3} - 3^{2}}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

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

$\frac{8 \cdot 8}{8 - 3^{2}}$

Step 2.2

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

$\frac{8 \cdot 8}{8 - 1 \cdot 9}$

Step 2.3

Multiply $- 1$ by $9$ .

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

Step 2.4

Subtract $9$ from $8$ .

$\frac{8 \cdot 8}{- 1}$

$\frac{8 \cdot 8}{- 1}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Multiply $8$ by $8$ .

$\frac{64}{- 1}$

Step 3.2

Divide $64$ by $- 1$ .

$- 64$

$- 64$

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