Basic Math Examples

$4.6 \cdot 10^{5} \div 9.922 \cdot 10^{9}$

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.

$(\frac{4.6}{9.922}) (\frac{10^{5}}{1}) \cdot 10^{9}$

Step 1.2

Divide $4.6$ by $9.922$ .

$0.4636162 \frac{10^{5}}{1} \cdot 10^{9}$

Step 1.3

Divide $10^{5}$ by $1$ .

$0.4636162 \cdot 10^{5} \cdot 10^{9}$

Step 2

Multiply $10^{5}$ by $10^{9}$ by adding the exponents.

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Step 2.1

Move $10^{9}$ .

$0.4636162 \cdot (10^{9} \cdot 10^{5})$

Step 2.2

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

$0.4636162 \cdot 10^{9 + 5}$

Step 2.3

Add $9$ and $5$ .

$0.4636162 \cdot 10^{14}$

Step 3

Move the decimal point in $0.4636162$ to the right by $1$ place and decrease the power of $10^{14}$ by $1$ .

$4.63616206 \cdot 10^{13}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$4.63616206 \cdot 10^{13}$

Expanded Form:

$46361620640999.8$