Pre-Algebra Examples

$(6.43 \cdot 10^{5}) (7.25 \cdot 10^{- 4})$

Step 1

Multiply $6.43$ by $7.25$ .

$46.6175 (10^{5} \cdot 10^{- 4})$

Step 2

Multiply $10^{5}$ by $10^{- 4}$ 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.

$46.6175 \cdot 10^{5 - 4}$

Step 2.2

Subtract $4$ from $5$ .

$46.6175 \cdot 10^{1}$

Step 3

Simplify $10^{1}$ .

$46.6175 \cdot 10$

Step 4

Multiply $46.6175$ by $10$ .

$466.175$