Evaluate Using Scientific Notation (510^3)(2.110^5)

$(5 \cdot 10^{3}) (2.1 \cdot 10^{5})$

Step 1

Multiply $5$ by $2.1$ .

$10.5 (10^{3} \cdot 10^{5})$

Step 2

Multiply $10^{3}$ by $10^{5}$ by adding the exponents.

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

$10.5 \cdot 10^{3 + 5}$

Add $3$ and $5$ .

$10.5 \cdot 10^{8}$

Step 3

Move the decimal point in $10.5$ to the left by $1$ place and increase the power of $10^{8}$ by $1$ .

$1.05 \cdot 10^{9}$

Evaluate Using Scientific Notation (5*10^3)(2.1*10^5)