The value of (625)^(-3/4) is: Option 1: 1/10 Option 2: 1/25 Option 3: 1/125 Option 4: 1/15

Answer: 1/125. Solution: 625 = 5^4. So (625)^(-3/4) = (5^4)^(-3/4) = 5^(-3) = 1/125.

Quantitative Reasoning

Number System

Medium

The value of $(625)^{-3/4}$ is:

$\frac{1}{10}$

$\frac{1}{25}$

$\frac{1}{125}$

$\frac{1}{15}$

✅ Correct Option: 3

$625 = 5^4$ . So $(625)^{-3/4} = (5^4)^{-3/4} = 5^{-3} = 1/125$ .

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