Chemistry Examples

$(6.02 \cdot 10^{2} \cdot 3) (8.65 \cdot 10^{4})$

Step 1

Multiply $6.02$ by $3$ .

$18.06 \cdot 10^{2} \cdot 8.65 \cdot 10^{4}$

Step 2

Multiply $18.06$ by $8.65$ .

$156.219 (10^{2} \cdot 10^{4})$

Step 3

Multiply $10^{2}$ 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.

$156.219 \cdot 10^{2 + 4}$

Step 3.2

Add $2$ and $4$ .

$156.219 \cdot 10^{6}$

Step 4

Move the decimal point in $156.219$ to the left by $2$ places and increase the power of $10^{6}$ by $2$ .

$1.56219 \cdot 10^{8}$

Step 5

The result can be shown in multiple forms.

Scientific Notation:

$1.56219 \cdot 10^{8}$

Expanded Form:

$156219000$