Evaluate Using Scientific Notation (810^7)(710^4)

$(8 \cdot 10^{7}) (7 \cdot 10^{4})$

Step 1

Multiply $8$ by $7$ .

$56 (10^{7} \cdot 10^{4})$

Step 2

Multiply $10^{7}$ by $10^{4}$ by adding the exponents.

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

$56 \cdot 10^{7 + 4}$

Add $7$ and $4$ .

$56 \cdot 10^{11}$

Step 3

Move the decimal point in $56$ to the left by $1$ place and increase the power of $10^{11}$ by $1$ .

$5.6 \cdot 10^{12}$

Evaluate Using Scientific Notation (8*10^7)(7*10^4)