Basic Math Examples

$\frac{1}{3} \cdot 3.14 \cdot {8.4}^{2} \cdot 8.4$

Step 1

Multiply ${8.4}^{2}$ by $8.4$ by adding the exponents.

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Step 1.1

Move $8.4$ .

$\frac{1}{3} \cdot 3.14 \cdot (8.4 \cdot {8.4}^{2})$

Step 1.2

Multiply $8.4$ by ${8.4}^{2}$ .

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Step 1.2.1

Raise $8.4$ to the power of $1$ .

$\frac{1}{3} \cdot 3.14 \cdot ({8.4}^{1} \cdot {8.4}^{2})$

Step 1.2.2

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

$\frac{1}{3} \cdot 3.14 \cdot {8.4}^{1 + 2}$

Step 1.3

Add $1$ and $2$ .

$\frac{1}{3} \cdot 3.14 \cdot {8.4}^{3}$

Step 2

Combine $\frac{1}{3}$ and $3.14$ .

$\frac{3.14}{3} \cdot {8.4}^{3}$

Step 3

Simplify the expression.

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Step 3.1

Divide $3.14$ by $3$ .

$1.04\overline{6} \cdot {8.4}^{3}$

Step 3.2

Raise $8.4$ to the power of $3$ .

$1.04\overline{6} \cdot 592.704$

Step 3.3

Multiply $1.04\overline{6}$ by $592.704$ .

$620.36352$