Evaluate Using Scientific Notation (1.810^1)(710^5)

$(1.8 \cdot 10^{1}) (7 \cdot 10^{5})$

Step 1

Multiply $1.8$ by $7$ .

$12.6 (10^{1} \cdot 10^{5})$

Step 2

Multiply $10^{1}$ by $10^{5}$ by adding the exponents.

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

$12.6 \cdot 10^{1 + 5}$

Add $1$ and $5$ .

$12.6 \cdot 10^{6}$

Step 3

Move the decimal point in $12.6$ to the left by $1$ place and increase the power of $10^{6}$ by $1$ .

$1.26 \cdot 10^{7}$

Evaluate Using Scientific Notation (1.8*10^1)(7*10^5)