Basic Math Examples

$\frac{10^{6} \cdot 10^{0}}{10^{2}}$

Step 1

Multiply $10^{6}$ by $10^{0}$ by adding the exponents.

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Step 1.1

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

$\frac{10^{6 + 0}}{10^{2}}$

Step 1.2

Add $6$ and $0$ .

$\frac{10^{6}}{10^{2}}$

Step 2

Cancel the common factor of $10^{6}$ and $10^{2}$ .

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Step 2.1

Factor $10^{2}$ out of $10^{6}$ .

$\frac{10^{2} \cdot 10^{4}}{10^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Multiply by $1$ .

$\frac{10^{2} \cdot 10^{4}}{10^{2} \cdot 1}$

Step 2.2.2

Cancel the common factor.

$\frac{10^{2} \cdot 10^{4}}{10^{2} \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{10^{4}}{1}$

Step 2.2.4

Divide $10^{4}$ by $1$ .

$10^{4}$

Step 3

Raise $10$ to the power of $4$ .

$10000$