Pre-Algebra Examples

$\frac{40 x^{10}}{6 x^{0} - {(5 p)}^{0}}$

Step 1

Simplify the denominator.

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Step 1.1

Anything raised to $0$ is $1$ .

$\frac{40 x^{10}}{6 \cdot 1 - {(5 p)}^{0}}$

Step 1.2

Multiply $6$ by $1$ .

$\frac{40 x^{10}}{6 - {(5 p)}^{0}}$

Step 1.3

Apply the product rule to $5 p$ .

$\frac{40 x^{10}}{6 - (5^{0} p^{0})}$

Step 1.4

Anything raised to $0$ is $1$ .

$\frac{40 x^{10}}{6 - (1 p^{0})}$

Step 1.5

Multiply $p^{0}$ by $1$ .

$\frac{40 x^{10}}{6 - p^{0}}$

Step 1.6

Anything raised to $0$ is $1$ .

$\frac{40 x^{10}}{6 - 1 \cdot 1}$

Step 1.7

Multiply $- 1$ by $1$ .

$\frac{40 x^{10}}{6 - 1}$

Step 1.8

Subtract $1$ from $6$ .

$\frac{40 x^{10}}{5}$

$\frac{40 x^{10}}{5}$

Step 2

Cancel the common factor of $40$ and $5$ .

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Step 2.1

Factor $5$ out of $40 x^{10}$ .

$\frac{5 (8 x^{10})}{5}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $5$ out of $5$ .

$\frac{5 (8 x^{10})}{5 (1)}$

Step 2.2.2

Cancel the common factor.

$\frac{5 (8 x^{10})}{5 \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{8 x^{10}}{1}$

Step 2.2.4

Divide $8 x^{10}$ by $1$ .

$8 x^{10}$

$8 x^{10}$

$8 x^{10}$

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