Evaluate Using Scientific Notation (7.710^6)(710^5)

$(7.7 \cdot 10^{6}) (7 \cdot 10^{5})$

Step 1

Multiply $7.7$ by $7$ .

$53.9 (10^{6} \cdot 10^{5})$

Step 2

Multiply $10^{6}$ by $10^{5}$ by adding the exponents.

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

$53.9 \cdot 10^{6 + 5}$

Add $6$ and $5$ .

$53.9 \cdot 10^{11}$

Step 3

Move the decimal point in $53.9$ to the left by $1$ place and increase the power of $10^{11}$ by $1$ .

$5.39 \cdot 10^{12}$

Evaluate Using Scientific Notation (7.7*10^6)(7*10^5)