Basic Math Examples

$(3 \cdot 10^{8}) (2.5 \cdot 10^{- 5})$

Step 1

Multiply $3$ by $2.5$ .

$7.5 (10^{8} \cdot 10^{- 5})$

Step 2

Multiply $10^{8}$ by $10^{- 5}$ 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.

$7.5 \cdot 10^{8 - 5}$

Step 2.2

Subtract $5$ from $8$ .

$7.5 \cdot 10^{3}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

$7.5 \cdot 10^{3}$

Expanded Form:

$7500$