Algebra Examples

$(3.4 \cdot 10^{5}) (7.5 \cdot 10^{- 9})$

Group coefficients together and exponents together to multiply numbers in scientific notation.

$(3.4 \cdot 7.5) (10^{5} \cdot 10^{- 9})$

Multiply $3.4$ by $7.5$ .

$25.5 (10^{5} \cdot 10^{- 9})$

Multiply $10^{5}$ by $10^{- 9}$ by adding the exponents.

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

$25.5 \cdot 10^{5 - 9}$

Subtract $9$ from $5$ .

$25.5 \cdot 10^{- 4}$

Write $25.5 \cdot 10^{- 4}$ in proper scientific notation.

$2.55 \cdot 10^{- 3}$