Basic Math Examples

$\frac{(10^{- 3}) (10^{- 4})}{10^{3}}$

Step 1

Multiply $10^{- 3}$ by $10^{- 4}$ 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.

$\frac{10^{- 3 - 4}}{10^{3}}$

Step 1.2

Subtract $4$ from $- 3$ .

$\frac{10^{- 7}}{10^{3}}$

Step 2

Move $10^{- 7}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{10^{3} \cdot 10^{7}}$

Step 3

Multiply $10^{3}$ by $10^{7}$ 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.

$\frac{1}{10^{3 + 7}}$

Step 3.2

Add $3$ and $7$ .

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

Step 4

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

$\frac{1}{10000000000}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10000000000}$

Decimal Form:

$1 \cdot 10^{- 10}$