Evaluate Using Scientific Notation (4.610^-2)(1.0*10^-8)

$(4.6 \cdot 10^{- 2}) \cdot (1 \cdot 10^{- 8})$

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

$(4.6 \cdot 1) (10^{- 2} \cdot 10^{- 8})$

Multiply $4.6$ by $1$ .

$4.6 (10^{- 2} \cdot 10^{- 8})$

Multiply $10^{- 2}$ by $10^{- 8}$ by adding the exponents.

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

$4.6 \cdot 10^{- 2 - 8}$

Subtract $8$ from $- 2$ .

$4.6 \cdot 10^{- 10}$

Evaluate Using Scientific Notation (4.6*10^-2)*(1.0*10^-8)