Pre-Algebra Examples

$(9.75 \cdot 10^{3}) (8.4 \cdot 10^{- 6})$

Step 1

Multiply $9.75$ by $8.4$ .

$81.9 (10^{3} \cdot 10^{- 6})$

Step 2

Multiply $10^{3}$ by $10^{- 6}$ 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.

$81.9 \cdot 10^{3 - 6}$

Step 2.2

Subtract $6$ from $3$ .

$81.9 \cdot 10^{- 3}$

Step 3

Move the decimal point in $81.9$ to the left by $1$ place and increase the power of $10^{- 3}$ by $1$ .

$8.19 \cdot 10^{- 2}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$8.19 \cdot 10^{- 2}$

Expanded Form:

$0.0819$