Evaluate Using Scientific Notation (5.6781110^5)(3.15576*10^7)

$(5.67811 \cdot 10^{5}) \cdot (3.15576 \cdot 10^{7})$

Step 1

Multiply $5.67811$ by $3.15576$ .

$17.91875241 (10^{5} \cdot 10^{7})$

Step 2

Multiply $10^{5}$ by $10^{7}$ by adding the exponents.

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

$17.91875241 \cdot 10^{5 + 7}$

Add $5$ and $7$ .

$17.91875241 \cdot 10^{12}$

Step 3

Move the decimal point in $17.91875241$ to the left by $1$ place and increase the power of $10^{12}$ by $1$ .

$1.79187524 \cdot 10^{13}$

Evaluate Using Scientific Notation (5.67811*10^5)*(3.15576*10^7)