Question

find the value of 27-¹/³ × 8²/³

Answer 1

Hey there!!

,
${27}^{ \frac{ - 1}{3} } \times {8}^{ \frac{2}{3} } \\ \\ = > {(3)}^{3 \times \frac{ - 1}{3} } \times {2}^{3 \times \frac{2}{3} } \\ \\ = > {3}^{ - 1} \times 4 \\ = > \frac{1}{3} \times 4 \: \: (since \: {a}^{ - 1} = \frac{1}{a}) \\ = > \frac{4}{3}$
Hope this helps u!!