Evaluate Using Scientific Notation (5.810^8)(3.3*10^-5)

$(5.8 \cdot 10^{8}) \cdot (3.3 \cdot 10^{- 5})$

Step 1

Multiply $5.8$ by $3.3$ .

$19.14 (10^{8} \cdot 10^{- 5})$

Step 2

Multiply $10^{8}$ by $10^{- 5}$ by adding the exponents.

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

$19.14 \cdot 10^{8 - 5}$

Subtract $5$ from $8$ .

$19.14 \cdot 10^{3}$

Step 3

Move the decimal point in $19.14$ to the left by $1$ place and increase the power of $10^{3}$ by $1$ .

$1.914 \cdot 10^{4}$

Evaluate Using Scientific Notation (5.8*10^8)*(3.3*10^-5)