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MATHEMATICS

JAMB 2016 - Question 25

Mathematics 2016 JAMB Past Questions - Question 25: Evaluate 27¹/³ - 8²/³ / 16⁴ / 4x²

Evaluate 27¹/³ - 8²/³ / 16⁴ / 4x²

A: 23/5

B: -23/6

C: 1/8

D: 21/7

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Correct Answer

Explanation

To evaluate the expression \(27^{1/3} - 8^{2/3} / 16^{4} / 4x^{2}\), we can follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).First, let's simplify the exponents:\(27^{1/3} = \sqrt[3]{27} = 3\)\(8^{2/3} = \sqrt[3]{8^2} = \sqrt[3]{64} = 4\)Now, let's simplify the division:\(\frac{3 - 4}{16^4 / 4x^2} = \frac{-1}{65536 / 4x^2} = \frac{-1}{16384x^2}\)So, the simplified expression is \(\frac{-1}{16384x^2}\).