Question

(27) raised to the power -2/3

Answer 1

$(27) {}^{ - 2 \div 3}$

$(3) {}^{3( - 2 \div 3)}$

$(3) {}^{ - 2}$

$(1 \div 3) {}^{2}$

1/9


Thanks

Answer 2

Hey friend,
Here is the answer you were looking for:
${27}^{ - \frac{2}{3} }$

On splitting we get,

${3 \times 3 \times 3}^{ - \frac{2}{3} } \\ \\ = {3}^{3 \times - \frac{2}{3} } \\ \\ = {3}^{ - 2} \\ \\ = \frac{1}{ {3}^{2} } \\ \\ = \frac{1}{9} \: or \: {9}^{ - 1}$


Hope this helps!!

If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.

@Mahak24

Thanks...
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