Basic Math Examples

$(4 \cdot 10^{3}) (7 \cdot 10^{- 2})$

Step 1

Multiply $4$ by $7$ .

$28 (10^{3} \cdot 10^{- 2})$

Step 2

Multiply $10^{3}$ by $10^{- 2}$ 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.

$28 \cdot 10^{3 - 2}$

Step 2.2

Subtract $2$ from $3$ .

$28 \cdot 10^{1}$

Step 3

Simplify $10^{1}$ .

$28 \cdot 10$

Step 4

Multiply $28$ by $10$ .

$280$