Evaluate Using Scientific Notation (610^-8)(4.3*10^3)

$(6 \cdot 10^{- 8}) \cdot (4.3 \cdot 10^{3})$

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

$(6 \cdot 4.3) (10^{- 8} \cdot 10^{3})$

Multiply $6$ by $4.3$ .

$25.8 (10^{- 8} \cdot 10^{3})$

Multiply $10^{- 8}$ by $10^{3}$ by adding the exponents.

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

$25.8 \cdot 10^{- 8 + 3}$

Add $- 8$ and $3$ .

$25.8 \cdot 10^{- 5}$

Write $25.8 \cdot 10^{- 5}$ in proper scientific notation.

$2.58 \cdot 10^{- 4}$

Evaluate Using Scientific Notation (6*10^-8)*(4.3*10^3)