Practice mode Surds and Indices

What is the value of (0.04)^(−1.5)?

Correct answer A. 125

Explanation

0.04 = 1/25 and −1.5 = −3/2. A negative index flips the fraction, so (1/25)^(−3/2) = 25^(3/2) = (√25)³ = 5³ = 125.

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