If 1 > a > 5 and -12 < b < -3 then which of the following expression w

1.	If 1 > a > 5 and -12 < b < -3 then which of the following expression will give the minimum value?1. a3b2. ab33. ab74. (ab)5
Answer» Correct Answer - Option 4 : (ab)⁵ Given: The given conditions are 1 > a > 5 and -12 < b < -3 Concept Used: (-ve)^odd = (-ve) and (-ve)^even = ( + ve) Calculation: From the given conditions it is clear that a is positive and b is negative ∴ The expression a³b, b is negative and a is positive so it will give negative value Now, the second expression is ab³ ∴ The expression ab³, b is negative with odd power and a is positive so it will give negative value Now, the third expression is ab⁷ ∴ The expression ab⁷, b is negative with odd and a is positive so it will give negative value Now, the fourth expression is (ab)⁵ ∴ The expression (ab)⁵, the product of ab will be negative Here all the terms will give the negative value ∴ Order of expression from minimum to maximum will be a³b ≥ ab³≥ ab⁷ ≥ (ab)⁵ Hence, option (4) is correct

If 1 > a > 5 and -12 < b < -3 then which of the following expression will give the minimum value?1. a3b2. ab33. ab74. (ab)5

Answer» Correct Answer - Option 4 : (ab)⁵

Given:

The given conditions are 1 > a > 5 and -12 < b < -3

Concept Used:

(-ve)^odd = (-ve) and (-ve)^even = ( + ve)

Calculation:

From the given conditions it is clear that a is positive and b is negative

∴ The expression a³b, b is negative and a is positive so it will give negative value

Now, the second expression is ab³

∴ The expression ab³, b is negative with odd power and a is positive so it will give negative value

Now, the third expression is ab⁷

∴ The expression ab⁷, b is negative with odd and a is positive so it will give negative value

Now, the fourth expression is (ab)⁵

∴ The expression (ab)⁵, the product of ab will be negative

Here all the terms will give the negative value

∴ Order of expression from minimum to maximum will be a³b ≥ ab³≥ ab⁷ ≥ (ab)⁵

Hence, option (4) is correct