Evaluate Using Scientific Notation (410^3)(210^4)

$(4 \cdot 10^{3}) (2 \cdot 10^{4})$

Step 1

Multiply $4$ by $2$ .

$8 (10^{3} \cdot 10^{4})$

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.

$8 \cdot 10^{3 + 4}$

Add $3$ and $4$ .

$8 \cdot 10^{7}$

Evaluate Using Scientific Notation (4*10^3)(2*10^4)