Evaluate Using Scientific Notation ((1.610^8)(5.810^6))/(4*10^6)

$\frac{(1.6 \cdot 10^{8}) (5.8 \cdot 10^{6})}{(4 \cdot 10^{6})}$

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

$\frac{(1.6 \cdot 5.8) (10^{8} \cdot 10^{6})}{4 \cdot 10^{6}}$

Multiply $1.6$ by $5.8$ .

$\frac{9.28 (10^{8} \cdot 10^{6})}{4 \cdot 10^{6}}$

Multiply $10^{8}$ by $10^{6}$ by adding the exponents.

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

$\frac{9.28 \cdot 10^{8 + 6}}{4 \cdot 10^{6}}$

Add $8$ and $6$ .

$\frac{9.28 \cdot 10^{14}}{4 \cdot 10^{6}}$

Divide using scientific notation.

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

$(\frac{9.28}{4}) (\frac{10^{14}}{10^{6}})$

Divide $9.28$ by $4$ .

$2.32 \frac{10^{14}}{10^{6}}$

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$2.32 \cdot 10^{14 + 6 \cdot - 1}$

Multiply $6$ by $- 1$ .

$2.32 \cdot 10^{14 - 6}$

Subtract $6$ from $14$ .

$2.32 \cdot 10^{8}$

Evaluate Using Scientific Notation ((1.6*10^8)(5.8*10^6))/(4*10^6)