Algebra Examples

$\frac{10 \cdot 4}{10^{- 1} \cdot 4^{2}}$

Step 1

Move $10^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{10 \cdot 4 \cdot 10}{4^{2}}$

Step 2

Cancel the common factor of $4$ and $4^{2}$ .

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Step 2.1

Factor $4$ out of $10 \cdot 4 \cdot 10$ .

$\frac{4 (10 \cdot 10)}{4^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $4^{2}$ .

$\frac{4 (10 \cdot 10)}{4 \cdot 4}$

Step 2.2.2

Cancel the common factor.

$\frac{4 (10 \cdot 10)}{4 \cdot 4}$

Step 2.2.3

Rewrite the expression.

$\frac{10 \cdot 10}{4}$

$\frac{10 \cdot 10}{4}$

$\frac{10 \cdot 10}{4}$

Step 3

Cancel the common factor of $10$ and $4$ .

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Step 3.1

Factor $2$ out of $10 \cdot 10$ .

$\frac{2 (5 \cdot 10)}{4}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $4$ .

$\frac{2 (5 \cdot 10)}{2 (2)}$

Step 3.2.2

Cancel the common factor.

$\frac{2 (5 \cdot 10)}{2 \cdot 2}$

Step 3.2.3

Rewrite the expression.

$\frac{5 \cdot 10}{2}$

$\frac{5 \cdot 10}{2}$

$\frac{5 \cdot 10}{2}$

Step 4

Cancel the common factor of $10$ and $2$ .

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Step 4.1

Factor $2$ out of $5 \cdot 10$ .

$\frac{2 (5 \cdot 5)}{2}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $2$ .

$\frac{2 (5 \cdot 5)}{2 (1)}$

Step 4.2.2

Cancel the common factor.

$\frac{2 (5 \cdot 5)}{2 \cdot 1}$

Step 4.2.3

Rewrite the expression.

$\frac{5 \cdot 5}{1}$

Step 4.2.4

Divide $5 \cdot 5$ by $1$ .

$5 \cdot 5$

$5 \cdot 5$

$5 \cdot 5$

Step 5

Multiply $5$ by $5$ .

$25$

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