Evaluate Using Scientific Notation (610^7)(3.210^5)

$(6 \cdot 10^{7}) (3.2 \cdot 10^{5})$

Step 1

Multiply $6$ by $3.2$ .

$19.2 (10^{7} \cdot 10^{5})$

Step 2

Multiply $10^{7}$ by $10^{5}$ by adding the exponents.

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

$19.2 \cdot 10^{7 + 5}$

Add $7$ and $5$ .

$19.2 \cdot 10^{12}$

Step 3

Move the decimal point in $19.2$ to the left by $1$ place and increase the power of $10^{12}$ by $1$ .

$1.92 \cdot 10^{13}$

Evaluate Using Scientific Notation (6*10^7)(3.2*10^5)