Simplify \( \frac{9^{\frac{1}{3}} \times 27^{-\frac{1}{3}}}{3^{-\frac{1}{6}} \times 3^{\frac{2}{3}}} \)

Assessment: JAMB UTME - Mathematics - 1986 Subject: General Mathematics

Question 1 Report

Simplify \( \frac{9^{\frac{1}{3}} \times 27^{-\frac{1}{3}}}{3^{-\frac{1}{6}} \times 3^{\frac{2}{3}}} \)

Answer Details
9 1 3 × 27 − 1 3 3 − 1 6 × 3 2 3  =  ( 3 2 ) 1 3 × ( 3 3 ) − 1 3 3 − 1 6 × 3 2 3
=  3 2 3 × 3 2 3 3 − 1 6 × 3 2 3
=  3 5 6 3 − 5 6
= 1

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