Pre-Algebra Examples

$3^{4} - 2 \cdot 4.6 \div \frac{10}{2}$

Step 1

Simplify each term.

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Step 1.1

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

$81 - 2 \cdot 4.6 \div \frac{10}{2}$

Step 1.2

To divide by a fraction, multiply by its reciprocal.

$81 - (2 \cdot 4.6 \frac{2}{10})$

Step 1.3

Multiply $2$ by $4.6$ .

$81 - (9.2 (\frac{2}{10}))$

Step 1.4

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

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Step 1.4.1

Factor $2$ out of $2$ .

$81 - (9.2 \frac{2 (1)}{10})$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $2$ out of $10$ .

$81 - (9.2 \frac{2 \cdot 1}{2 \cdot 5})$

Step 1.4.2.2

Cancel the common factor.

$81 - (9.2 \frac{2 \cdot 1}{2 \cdot 5})$

Step 1.4.2.3

Rewrite the expression.

$81 - (9.2 (\frac{1}{5}))$

$81 - (9.2 (\frac{1}{5}))$

$81 - (9.2 (\frac{1}{5}))$

Step 1.5

Combine $9.2$ and $\frac{1}{5}$ .

$81 - \frac{9.2}{5}$

Step 1.6

Divide $9.2$ by $5$ .

$81 - 1 \cdot 1.84$

Step 1.7

Multiply $- 1$ by $1.84$ .

$81 - 1.84$

$81 - 1.84$

Step 2

Subtract $1.84$ from $81$ .

$79.16$

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