Evaluate Using Scientific Notation (6.110^5)(210^5)

$(6.1 \cdot 10^{5}) (2 \cdot 10^{5})$

Step 1

Multiply $6.1$ by $2$ .

$12.2 (10^{5} \cdot 10^{5})$

Step 2

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

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

$12.2 \cdot 10^{5 + 5}$

Add $5$ and $5$ .

$12.2 \cdot 10^{10}$

Step 3

Move the decimal point in $12.2$ to the left by $1$ place and increase the power of $10^{10}$ by $1$ .

$1.22 \cdot 10^{11}$

Evaluate Using Scientific Notation (6.1*10^5)(2*10^5)