Pre-Algebra Examples

$(5.6 \cdot 10^{- 5}) (4 \cdot 10^{- 5})$

Step 1

Multiply $5.6$ by $4$ .

$22.4 (10^{- 5} \cdot 10^{- 5})$

Step 2

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

$22.4 \cdot 10^{- 5 - 5}$

Step 2.2

Subtract $5$ from $- 5$ .

$22.4 \cdot 10^{- 10}$

Step 3

Move the decimal point in $22.4$ to the left by $1$ place and increase the power of $10^{- 10}$ by $1$ .

$2.24 \cdot 10^{- 9}$