a blue light has a 460 nm wavelength. what is the wavelength of the light in meters? give your answer in…

a blue light has a 460 nm wavelength. what is the wavelength of the light in meters? give your answer in proper scientific notation. ?×10^? m enter the coefficient in the green box and the exponent in the yellow box.

a blue light has a 460 nm wavelength. what is the wavelength of the light in meters? give your answer in proper scientific notation. ?×10^? m enter the coefficient in the green box and the exponent in the yellow box.

Answer

Explanation:

Step1: Recall the conversion factor

1 nm = 1×10⁻⁹ m.

Step2: Convert 460 nm to m

460 nm = 460×1×10⁻⁹ m = 4.6×10²×10⁻⁹ m.

Step3: Use the exponent - rule

According to the rule aᵐ×aⁿ=aᵐ⁺ⁿ, 4.6×10²×10⁻⁹ m = 4.6×10²⁺⁽⁻⁹⁾ m = 4.6×10⁻⁷ m.

Answer:

4.6; - 7