Evaluate Using Scientific Notation (210^2)(410^4)

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

Step 1

Multiply $2$ by $4$ .

$8 (10^{2} \cdot 10^{4})$

Step 2

Multiply $10^{2}$ by $10^{4}$ by adding the exponents.

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

$8 \cdot 10^{2 + 4}$

Add $2$ and $4$ .

$8 \cdot 10^{6}$

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