Arithmetichard · Past Paper

If $A:B = B:C$, then $A^4 : B^4$ is equal to:

AA^2 : C^2
BA^2 : B^2
CA:C
DB^2 : AC

✓ Correct Answer: AA^2 : C^2

B^2 = AC. Then B^4 = (B^2)^2 = (AC)^2 = A^2 * C^2. A^4 / B^4 = A^4 / (A^2 * C^2) = A^2 / C^2.

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