Algebra Examples

$(3.4 \times 10^{5}) (1.2 \times 10^{- 3})$

Step 1

Multiply $3.4$ by $1.2$ .

$4.08 (10^{5} \cdot 10^{- 3})$

Step 2

Multiply $10^{5}$ by $10^{- 3}$ 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.

$4.08 \cdot 10^{5 - 3}$

Step 2.2

Subtract $3$ from $5$ .

$4.08 \cdot 10^{2}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

$4.08 \cdot 10^{2}$

Expanded Form:

$408$