The sun is 1.40•10^11m away and light travels at 3.00•10^8m/s. Calculate how long it takes light from the sun to reach the earth. Express your answer in scientific notation.

t = 1400*10^8 / 3*10^8 = 466.7 s.

To calculate how long it takes light from the sun to reach the earth, you need to divide the distance between the sun and the earth by the speed of light.

First, let's convert the distance from meters to kilometers, since the speed of light is usually expressed in kilometers per second.

To convert meters to kilometers, divide the distance by 1000:

1.40 x 10^11 m ÷ 1000 = 1.40 x 10^8 km.

Now, divide the converted distance by the speed of light in kilometers per second:

1.40 x 10^8 km ÷ 3.00 x 10^8 m/s

To divide numbers in scientific notation, you subtract the exponent of the divisor from the exponent of the dividend, and divide the mantissas:

1.40 ÷ 3.00 = 0.46666667

10^8 ÷ 10^8 = 1

So, the final result is:

0.46666667 x 10^1 = 4.67 x 10^0

However, since we're expressing the answer in scientific notation, we should use the proper format, which includes an exponent that is a multiple of 3. Therefore, we need to adjust the exponent by subtracting 1:

4.67 x 10^0 = 0.467 x 10^1

So, it takes approximately 0.467 x 10^1 seconds for light from the sun to reach the earth.