Evaluate: (0.04)^(−1.5)

Concept / Approach

• a^(−k) = 1 / a^k, and fractional exponents correspond to roots.
• Rewrite 0.04 in fractional form.

Step-by-step calculation0.04 = 4/100 = 1/25 = 25^(−1)(0.04)^(−1.5) = (25^(−1))^(−1.5) = 25^(1.5)25^(3/2) = (√25)^3 = 5^3 = 125

Final Answer125