Evaluate Using Scientific Notation (9.410^2)(2.0*10^3)

$(9.4 \cdot 10^{2}) \cdot (2 \cdot 10^{3})$

Step 1

Multiply $9.4$ by $2$ .

$18.8 (10^{2} \cdot 10^{3})$

Step 2

Multiply $10^{2}$ by $10^{3}$ by adding the exponents.

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

$18.8 \cdot 10^{2 + 3}$

Add $2$ and $3$ .

$18.8 \cdot 10^{5}$

Step 3

Move the decimal point in $18.8$ to the left by $1$ place and increase the power of $10^{5}$ by $1$ .

$1.88 \cdot 10^{6}$

Evaluate Using Scientific Notation (9.4*10^2)*(2.0*10^3)