Evaluate Using Scientific Notation (410^7)(7.210^3)

$(4 \cdot 10^{7}) (7.2 \cdot 10^{3})$

Step 1

Multiply $4$ by $7.2$ .

$28.8 (10^{7} \cdot 10^{3})$

Step 2

Multiply $10^{7}$ by $10^{3}$ by adding the exponents.

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

$28.8 \cdot 10^{7 + 3}$

Add $7$ and $3$ .

$28.8 \cdot 10^{10}$

Step 3

Move the decimal point in $28.8$ to the left by $1$ place and increase the power of $10^{10}$ by $1$ .

$2.88 \cdot 10^{11}$

Evaluate Using Scientific Notation (4*10^7)(7.2*10^3)