Evaluate Using Scientific Notation (3.4810^3)(9.810^4)

$(3.48 \cdot 10^{3}) (9.8 \cdot 10^{4})$

Step 1

Multiply $3.48$ by $9.8$ .

$34.104 (10^{3} \cdot 10^{4})$

Step 2

Multiply $10^{3}$ by $10^{4}$ by adding the exponents.

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

$34.104 \cdot 10^{3 + 4}$

Add $3$ and $4$ .

$34.104 \cdot 10^{7}$

Step 3

Move the decimal point in $34.104$ to the left by $1$ place and increase the power of $10^{7}$ by $1$ .

$3.4104 \cdot 10^{8}$

Evaluate Using Scientific Notation (3.48*10^3)(9.8*10^4)