Basic Math Examples

$\frac{21^{2} \cdot 14 \cdot 125}{35^{3} \cdot 6}$

Step 1

Cancel the common factor of $14$ and $6$ .

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Step 1.1

Factor $2$ out of $21^{2} \cdot 14 \cdot 125$ .

$\frac{2 (21^{2} \cdot 7 \cdot 125)}{35^{3} \cdot 6}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $35^{3} \cdot 6$ .

$\frac{2 (21^{2} \cdot 7 \cdot 125)}{2 (35^{3} \cdot 3)}$

Step 1.2.2

Cancel the common factor.

$\frac{2 (21^{2} \cdot 7 \cdot 125)}{2 (35^{3} \cdot 3)}$

Step 1.2.3

Rewrite the expression.

$\frac{21^{2} \cdot 7 \cdot 125}{35^{3} \cdot 3}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $125$ by $7$ .

$\frac{21^{2} \cdot 875}{35^{3} \cdot 3}$

Step 2.2

Raise $35$ to the power of $3$ .

$\frac{21^{2} \cdot 875}{42875 \cdot 3}$

Step 2.3

Raise $21$ to the power of $2$ .

$\frac{441 \cdot 875}{42875 \cdot 3}$

Step 2.4

Multiply $42875$ by $3$ .

$\frac{441 \cdot 875}{128625}$

Step 2.5

Multiply $441$ by $875$ .

$\frac{385875}{128625}$

Step 2.6

Divide $385875$ by $128625$ .

$3$