Basic Math Examples

$\frac{3 \cdot (10^{8})}{3 \cdot (10^{21})}$

Step 1

Divide using scientific notation.

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Step 1.1

Group coefficients together and exponents together to divide numbers in scientific notation.

$(\frac{3}{3}) (\frac{10^{8}}{10^{21}})$

Step 1.2

Divide $3$ by $3$ .

$1 \frac{10^{8}}{10^{21}}$

Step 1.3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$1 \cdot 10^{8 + 21 \cdot - 1}$

Step 1.4

Multiply $21$ by $- 1$ .

$1 \cdot 10^{8 - 21}$

Step 1.5

Subtract $21$ from $8$ .

$1 \cdot 10^{- 13}$

Step 2

Multiply $10^{- 13}$ by $1$ .

$10^{- 13}$

Step 3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{10^{13}}$

Step 4

Raise $10$ to the power of $13$ .

$\frac{1}{10000000000000}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10000000000000}$

Decimal Form:

$1 \cdot 10^{- 13}$