Pre-Algebra Examples

$(2 \cdot 10^{9}) (3.4 \cdot 10^{- 4})$

Step 1

Multiply $2$ by $3.4$ .

$6.8 (10^{9} \cdot 10^{- 4})$

Step 2

Multiply $10^{9}$ by $10^{- 4}$ by adding the exponents.

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Step 2.1

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

$6.8 \cdot 10^{9 - 4}$

Step 2.2

Subtract $4$ from $9$ .

$6.8 \cdot 10^{5}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

$6.8 \cdot 10^{5}$

Expanded Form:

$680000$