Evaluate Using Scientific Notation (6.410^7)(9.710^3)

$(6.4 \cdot 10^{7}) (9.7 \cdot 10^{3})$

Step 1

Multiply $6.4$ by $9.7$ .

$62.08 (10^{7} \cdot 10^{3})$

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.

$62.08 \cdot 10^{7 + 3}$

Add $7$ and $3$ .

$62.08 \cdot 10^{10}$

Step 3

Move the decimal point in $62.08$ to the left by $1$ place and increase the power of $10^{10}$ by $1$ .

$6.208 \cdot 10^{11}$

Evaluate Using Scientific Notation (6.4*10^7)(9.7*10^3)