Basic Math Examples

$(5.2 \cdot 10^{- 7}) (3.6 \cdot 10^{2})$

Step 1

Multiply $5.2$ by $3.6$ .

$18.72 (10^{- 7} \cdot 10^{2})$

Step 2

Multiply $10^{- 7}$ by $10^{2}$ 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.

$18.72 \cdot 10^{- 7 + 2}$

Step 2.2

Add $- 7$ and $2$ .

$18.72 \cdot 10^{- 5}$

Step 3

Move the decimal point in $18.72$ to the left by $1$ place and increase the power of $10^{- 5}$ by $1$ .

$1.872 \cdot 10^{- 4}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$1.872 \cdot 10^{- 4}$

Expanded Form:

$0.0001872$