Finite Math Examples

$(3.4 \cdot 10^{5}) (7.5 \cdot 10^{- 9})$

Step 1

Multiply $3.4$ by $7.5$ .

$25.5 (10^{5} \cdot 10^{- 9})$

Step 2

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

Tap for more steps...

Step 2.1

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

$25.5 \cdot 10^{5 - 9}$

Step 2.2

Subtract $9$ from $5$ .

$25.5 \cdot 10^{- 4}$

Step 3

Move the decimal point in $25.5$ to the left by $1$ place and increase the power of $10^{- 4}$ by $1$ .

$2.55 \cdot 10^{- 3}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$2.55 \cdot 10^{- 3}$

Expanded Form:

$0.00255$