Evaluate Using Scientific Notation (2.010^-4)(3.1*10^-20)

$(2 \cdot 10^{- 4}) \cdot (3.1 \cdot 10^{- 20})$

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

$(2 \cdot 3.1) (10^{- 4} \cdot 10^{- 20})$

Multiply $2$ by $3.1$ .

$6.2 (10^{- 4} \cdot 10^{- 20})$

Multiply $10^{- 4}$ by $10^{- 20}$ by adding the exponents.

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

$6.2 \cdot 10^{- 4 - 20}$

Subtract $20$ from $- 4$ .

$6.2 \cdot 10^{- 24}$

Evaluate Using Scientific Notation (2.0*10^-4)*(3.1*10^-20)