Basic Math Examples

$10^{- 4} \div 10^{5}$

Step 1

Rewrite the division as a fraction.

$\frac{10^{- 4}}{10^{5}}$

Step 2

Move $10^{- 4}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{10^{5} \cdot 10^{4}}$

Step 3

Multiply $10^{5}$ by $10^{4}$ by adding the exponents.

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Step 3.1

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

$\frac{1}{10^{5 + 4}}$

Step 3.2

Add $5$ and $4$ .

$\frac{1}{10^{9}}$

Step 4

Raise $10$ to the power of $9$ .

$\frac{1}{1000000000}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{1000000000}$

Decimal Form:

$1 \cdot 10^{- 9}$