Basic Math Examples

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

Step 1

Move $10^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$10^{4} \cdot 10$

Step 2

Multiply $10^{4}$ by $10$ by adding the exponents.

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Step 2.1

Multiply $10^{4}$ by $10$ .

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Step 2.1.1

Raise $10$ to the power of $1$ .

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

Step 2.1.2

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

$10^{4 + 1}$

Step 2.2

Add $4$ and $1$ .

$10^{5}$

Step 3

Raise $10$ to the power of $5$ .

$100000$