Evaluate ((1.34*10^5)(0.000320))/((0.080)(124.4))

$\frac{(1.34 \cdot 10^{5}) (0.00032)}{(0.08) (124.4)}$

Step 1

Multiply $1.34$ by $0.00032$ .

$\frac{0.0004288 \cdot 10^{5}}{(0.08) (124.4)}$

Step 2

Move the decimal point in $0.0004288$ to the right by $4$ places and decrease the power of $10^{5}$ by $4$ .

$\frac{4.288 \cdot 10^{1}}{(0.08) (124.4)}$

Step 3

Multiply $0.08$ by $124.4$ .

$\frac{4.288 \cdot 10^{1}}{9.952}$

Step 4

Divide using scientific notation.

Group coefficients together and exponents together to divide numbers in scientific notation.

$(\frac{4.288}{9.952}) (\frac{10^{1}}{1})$

Divide $4.288$ by $9.952$ .

$0.43086816 \frac{10^{1}}{1}$

Divide $10^{1}$ by $1$ .

$0.43086816 \cdot 10^{1}$

Step 5

Move the decimal point in $0.43086816$ to the right by $1$ place and decrease the power of $10^{1}$ by $1$ .

$4.30868167 \cdot 10^{0}$

Step 6

Convert $4.30868167 \cdot 10^{0}$ from scientific notation.

$4.30868167$