Evaluate Using Scientific Notation (5.810^5)(6.410^2)

$(5.8 \cdot 10^{5}) (6.4 \cdot 10^{2})$

Step 1

Multiply $5.8$ by $6.4$ .

$37.12 (10^{5} \cdot 10^{2})$

Step 2

Multiply $10^{5}$ by $10^{2}$ by adding the exponents.

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

$37.12 \cdot 10^{5 + 2}$

Add $5$ and $2$ .

$37.12 \cdot 10^{7}$

Step 3

Move the decimal point in $37.12$ to the left by $1$ place and increase the power of $10^{7}$ by $1$ .

$3.712 \cdot 10^{8}$

Evaluate Using Scientific Notation (5.8*10^5)(6.4*10^2)