Evaluate Using Scientific Notation (810^7)(210^6)

$(8 \cdot 10^{7}) (2 \cdot 10^{6})$

Step 1

Multiply $8$ by $2$ .

$16 (10^{7} \cdot 10^{6})$

Step 2

Multiply $10^{7}$ by $10^{6}$ by adding the exponents.

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

$16 \cdot 10^{7 + 6}$

Add $7$ and $6$ .

$16 \cdot 10^{13}$

Step 3

Move the decimal point in $16$ to the left by $1$ place and increase the power of $10^{13}$ by $1$ .

$1.6 \cdot 10^{14}$

Evaluate Using Scientific Notation (8*10^7)(2*10^6)