Question

If a : b = b : c then a⁴ : b⁴ would be equal to ______.

विकल्प

• ac : b²

• a² : c²

• b² : ac

• c² : a²

Answer 1

If a : b = b : c then a⁴ : b⁴ would be equal to a² : c².

Explanation:

From a : b = b : c, we have b² = ac.

Thus `a^4/b^4 = a^4/(ac)^2 = a^2/c^2`, giving a⁴ : b⁴ = a² : c².