Question

Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenths place.

3.3 x 10³ ÷ 3.7 x 2.1 x 10⁻³

Answer 1

The simplified expression is approximately 0.43959731 x 10^6. To simplify the expression 3.3 x 10³ ÷ 3.7 x 2.1 x 10⁻³, divide the coefficients and subtract the exponents.

Step-by-step explanation:

To simplify the expression 3.3 x 10³ ÷ 3.7 x 2.1 x 10⁻³, we can start by dividing the coefficients: 3.3 ÷ (3.7 x 2.1). This gives us approximately 0.43959731. Next, we divide the exponents by subtracting them: 10³ ÷ 10⁻³ = 10^(3-(-3)) = 10^6 = 1,000,000. Therefore, the simplified expression in scientific notation is approximately 0.43959731 x 10^6.