Basic Math Examples

$(4.5 \cdot 10^{- 4}) (9 \cdot 10^{- 5})$

Step 1

Remove unnecessary parentheses.

$4.5 \cdot 10^{- 4} \cdot 9 \cdot 10^{- 5}$

Step 2

Combine exponents.

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Step 2.1

Multiply $9$ by $4.5$ .

$40.5 \cdot 10^{- 4} \cdot 10^{- 5}$

Step 2.2

Multiply $10^{- 4}$ by $10^{- 5}$ by adding the exponents.

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Step 2.2.1

Move $10^{- 5}$ .

$40.5 \cdot (10^{- 5} \cdot 10^{- 4})$

Step 2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$40.5 \cdot 10^{- 5 - 4}$

Step 2.2.3

Subtract $4$ from $- 5$ .

$40.5 \cdot 10^{- 9}$