Basic Math Examples

$\frac{64 {(13.5)}^{3}}{40^{3}} = d$

Step 1

Rewrite the equation as $d = \frac{64 \cdot {13.5}^{3}}{40^{3}}$ .

$d = \frac{64 \cdot {13.5}^{3}}{40^{3}}$

Step 2

Simplify $\frac{64 \cdot {13.5}^{3}}{40^{3}}$ .

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Step 2.1

Simplify the expression.

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Step 2.1.1

Raise $13.5$ to the power of $3$ .

$d = \frac{64 \cdot 2460.375}{40^{3}}$

Step 2.1.2

Raise $40$ to the power of $3$ .

$d = \frac{64 \cdot 2460.375}{64000}$

Step 2.1.3

Multiply $64$ by $2460.375$ .

$d = \frac{157464}{64000}$

Step 2.2

Cancel the common factor of $157464$ and $64000$ .

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Step 2.2.1

Factor $8$ out of $157464$ .

$d = \frac{8 (19683)}{64000}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $8$ out of $64000$ .

$d = \frac{8 \cdot 19683}{8 \cdot 8000}$

Step 2.2.2.2

Cancel the common factor.

$d = \frac{8 \cdot 19683}{8 \cdot 8000}$

Step 2.2.2.3

Rewrite the expression.

$d = \frac{19683}{8000}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$d = \frac{19683}{8000}$

Decimal Form:

$d = 2.460375$

Mixed Number Form:

$d = 2 \frac{3683}{8000}$