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?
Answer: A. x2 : z2 — 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…
- A.
x2 : z2
- B.
y2 : X2
- C.
xY6 : x6
- D.
xY3 : z3
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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)
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