Basic Math Examples

$\frac{5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}{(2) (3 \cdot 2)} \cdot ({(0.25)}^{3} {(0.75)}^{2})$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $5$ by $4$ .

$\frac{20 \cdot 3 \cdot 2 \cdot 1}{(2) (3 \cdot 2)} \cdot ({(0.25)}^{3} {(0.75)}^{2})$

Step 1.2

Multiply $20$ by $3$ .

$\frac{60 \cdot 2 \cdot 1}{(2) (3 \cdot 2)} \cdot ({(0.25)}^{3} {(0.75)}^{2})$

Step 1.3

Multiply $60$ by $2$ .

$\frac{120 \cdot 1}{(2) (3 \cdot 2)} \cdot ({(0.25)}^{3} {(0.75)}^{2})$

Step 1.4

Multiply $120$ by $1$ .

$\frac{120}{(2) (3 \cdot 2)} \cdot ({(0.25)}^{3} {(0.75)}^{2})$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $2$ by $3$ .

$\frac{120}{6 \cdot 2} \cdot ({(0.25)}^{3} {(0.75)}^{2})$

Step 2.2

Multiply $6$ by $2$ .

$\frac{120}{12} \cdot ({(0.25)}^{3} {(0.75)}^{2})$

Step 3

Simplify the expression.

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Step 3.1

Divide $120$ by $12$ .

$10 \cdot ({(0.25)}^{3} {(0.75)}^{2})$

Step 3.2

Raise $0.25$ to the power of $3$ .

$10 \cdot (0.015625 {(0.75)}^{2})$

Step 3.3

Raise $0.75$ to the power of $2$ .

$10 \cdot (0.015625 \cdot 0.5625)$

Step 4

Multiply $10 (0.015625 \cdot 0.5625)$ .

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Step 4.1

Multiply $0.015625$ by $0.5625$ .

$10 \cdot 0.00878906$

Step 4.2

Multiply $10$ by $0.00878906$ .

$0.08789062$