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MATHEMATICS

JAMB 2022 - Question 17

Mathematics 2022 JAMB Past Questions - Question 17: Evaluate: (0.064)-¹/³

Evaluate: (0.064)-¹/³

A: 5/2

B: 2/5

C: -2/5

D: -5/2

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Correct Answer

Explanation

To evaluate (0.064)^(-1/3), we can use the property of exponentiation that states (a^b)^c = a^(b*c).In this case, we have (0.064)^(-1/3) = 0.064^(-1/3).To find the value, we can take the reciprocal of the cube root of 0.064.The cube root of 0.064 is approximately 0.4 (rounded to one decimal place).Taking the reciprocal of 0.4, we get 1/0.4 = 2.5.Therefore, (0.064)^(-1/3) is equal to 2.5.