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Moderate

Decimal Multiplied by Power of 10: Finding Exponents

GMAT-YUAYZF

Assume $a$ and $b$ are digits between $0$ and $9$.

What is the largest value of $k$ that would give $4ab3.4b({10}^{-k})$ a value between $0$ and $9$?

A

$-3$

B

$-2$

C

$0$

D

$2$

E

$3$