Basic Math Examples

$\frac{10^{8} (30^{5})}{6^{5} (500^{4})}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $10$ to the power of $8$ .

$\frac{100000000 \cdot 30^{5}}{6^{5} \cdot 500^{4}}$

Step 1.2

Raise $30$ to the power of $5$ .

$\frac{100000000 \cdot 24300000}{6^{5} \cdot 500^{4}}$

Step 2

Simplify the denominator.

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Step 2.1

Raise $6$ to the power of $5$ .

$\frac{100000000 \cdot 24300000}{7776 \cdot 500^{4}}$

Step 2.2

Raise $500$ to the power of $4$ .

$\frac{100000000 \cdot 24300000}{7776 \cdot 62500000000}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $100000000$ by $24300000$ .

$\frac{2430000000000000}{7776 \cdot 62500000000}$

Step 3.2

Multiply $7776$ by $62500000000$ .

$\frac{2430000000000000}{486000000000000}$

Step 3.3

Divide $2430000000000000$ by $486000000000000$ .

$5$