Basic Math Examples

$(8 \cdot 10^{5}) (6.2 \cdot 10^{- 8})$

Step 1

Multiply $8$ by $6.2$ .

$49.6 (10^{5} \cdot 10^{- 8})$

Step 2

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

$49.6 \cdot 10^{5 - 8}$

Step 2.2

Subtract $8$ from $5$ .

$49.6 \cdot 10^{- 3}$

Step 3

Move the decimal point in $49.6$ to the left by $1$ place and increase the power of $10^{- 3}$ by $1$ .

$4.96 \cdot 10^{- 2}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$4.96 \cdot 10^{- 2}$

Expanded Form:

$0.0496$