Evaluate Using Scientific Notation (610^2)(410^4)

$(6 \cdot 10^{2}) (4 \cdot 10^{4})$

Step 1

Multiply $6$ by $4$ .

$24 (10^{2} \cdot 10^{4})$

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.

$24 \cdot 10^{2 + 4}$

Add $2$ and $4$ .

$24 \cdot 10^{6}$

Step 3

Move the decimal point in $24$ to the left by $1$ place and increase the power of $10^{6}$ by $1$ .

$2.4 \cdot 10^{7}$

Evaluate Using Scientific Notation (6*10^2)(4*10^4)