If x⁻³ - 0.001 = 0, find x² = ?

A 100

B 1/100

C 10

D 1/10

Solution

Correct Answer: Option A

x⁻³ - 0.001 = 0
⇒ 1/x³-1/1000=0
⇒ 1/x³=1/1000
⇒ x³=/1000
⇒ (x)³=(10)³
⇒ x=10
∴ x²=100

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