Basic Math Examples

$(9.5 \cdot 10^{5}) (5 \cdot 10^{- 4})$

Step 1

Multiply $9.5$ by $5$ .

$47.5 (10^{5} \cdot 10^{- 4})$

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.

$47.5 \cdot 10^{5 - 4}$

Step 2.2

Subtract $4$ from $5$ .

$47.5 \cdot 10^{1}$

Step 3

Simplify $10^{1}$ .

$47.5 \cdot 10$

Step 4

Multiply $47.5$ by $10$ .

$475$