Discussion of Question with ID = 006 under Surds-and-Indices

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Question

What is $4096^0.15 × 4096^0.1$?

A

8.

B

9.

C

7.

D

10.

Soln.
Ans: a

By inspection, we get $(2^12)^0.15 × (2^12)^0.1$, which equals $(2^12)^(0.15 + 0.1)$, which equals $(2^12)^0.25$, which equals $2^3$, or 8. Note: The trick in such type of questions is to keep an eye on the "bases".


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