Pre-Algebra Examples

$(5.3 \cdot 10^{- 2}) (2.6 \cdot 10^{8})$

Step 1

Multiply $5.3$ by $2.6$ .

$13.78 (10^{- 2} \cdot 10^{8})$

Step 2

Multiply $10^{- 2}$ 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.

$13.78 \cdot 10^{- 2 + 8}$

Step 2.2

Add $- 2$ and $8$ .

$13.78 \cdot 10^{6}$

Step 3

Move the decimal point in $13.78$ to the left by $1$ place and increase the power of $10^{6}$ by $1$ .

$1.378 \cdot 10^{7}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$1.378 \cdot 10^{7}$

Expanded Form:

$13780000$