Evaluate Using Scientific Notation (2.810^-16)(710^19)

$(2.8 \cdot 10^{- 16}) (7 \cdot 10^{19})$

Step 1

Multiply $2.8$ by $7$ .

$19.6 (10^{- 16} \cdot 10^{19})$

Step 2

Multiply $10^{- 16}$ by $10^{19}$ by adding the exponents.

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

$19.6 \cdot 10^{- 16 + 19}$

Add $- 16$ and $19$ .

$19.6 \cdot 10^{3}$

Step 3

Move the decimal point in $19.6$ to the left by $1$ place and increase the power of $10^{3}$ by $1$ .

$1.96 \cdot 10^{4}$

Evaluate Using Scientific Notation (2.8*10^-16)(7*10^19)