Question

(1.003)4 is nearly equal to

Answer 1

To find: the approximate value of 1.003⁴

Explanation:

• We can find the answer using calculator:
• 1.003⁴ = 1.0120541081
• = 1.01 (approximately)

However we find the value of 1.003⁴ by expanding it using binomial law:

Now, 1.003⁴

= (1 + 0.003)⁴

= 1⁴ + 4 * 1³ * 0.003¹ + 6 * 1² * 0.003² + 4 * 1¹ * 0.003³ + 0.003⁴

= 1 + 4 * 1 * 0.003 + 6 * 1 * 0.000009 + 4 * 1 * 0.000000027 + 0.000000000081

= 1 + 0.012 + 0.000054 + 0.000000108 + 0.000000000081

= 1.0120541081

= 1.01 (approximately)

Answer: 1.003⁴ is nearly equal to 1.01 .

Answer 2

Answer:

l think you get your answer