If x : y = y : z, then what is the value of x4 : y4?
2021
If x : y = y : z, then what is the value of x4 : y4?
- A.
x2 : z2
- B.
y2 : X2
- C.
xY6 : x6
- D.
xY3 : z3
Attempted by 35 students.
Show answer & explanation
Correct answer: A
Solution
Given:
x : y = y : z
Using the property of proportions:
y² = xz
We need to find:
x⁴ : y⁴
Since y² = xz,
y⁴ = (y²)² = (xz)² = x²z²
Therefore,
x⁴ : y⁴
= x⁴ : x²z²
= x² : z²
Answer: x² : z² (Option A)