Pre-Algebra Examples

$\frac{x + 5}{x^{2} \cdot (4 x) - 45}$

Step 1

Rewrite using the commutative property of multiplication.

$\frac{x + 5}{4 x^{2} x - 45}$

Step 2

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

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Step 2.1

Move $x$ .

$\frac{x + 5}{4 (x \cdot x^{2}) - 45}$

Step 2.2

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

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Step 2.2.1

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

$\frac{x + 5}{4 (x^{1} x^{2}) - 45}$

Step 2.2.2

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

$\frac{x + 5}{4 x^{1 + 2} - 45}$

Step 2.3

Add $1$ and $2$ .

$\frac{x + 5}{4 x^{3} - 45}$