Final answer:
To solve the given problem, divide 3.168×109 by 4.8×1025 to find the multiplier that equals x. However, the correct calculation does not match any of the provided options, implying there may be an error in the question.
Step-by-step explanation:
To express the number 3.168×109 as a multiple of 4.8×1025, we need to find a number that, when multiplied by 4.8×1025, will give us 3.168×109. To express this ratio in scientific notation, we need to represent 0.66 as a number between 1 and 10.
3.168×109 = 4.8×1025 × x
To solve for 'x', we divide 3.168×109 by 4.8×1025:
x = (3.168×109) / (4.8×1025)
After performing the division, we find that value 'x' is equal to 6.6×10-17 (rounded to two decimal places).
Therefore, we can write the ratio as 6.6×10^-1. To convert 4.8×10^25 to this new ratio, we need to multiply by 10 and decrease the exponent by 1. This gives us 6.6×10^-2.