Question

Evaluate 27^(-2/3)

Answer 1

\[27^{\frac{ -2 }{ 3 }} = \frac{ 1 }{ \sqrt[3]{27^2} }\]

Answer 2

The negative sign in the exponent means it is in the denominator. The top part of the fraction means it will be squared and the bottom part means you will also take the cube root of it. Does that make sense?

Answer 3

\[ \large
(27)^{-2/3} = (3 \times 3 \times 3)^{-2/3} = (3^3)^{-2/3} = 3^{3*(-2/3)} = 3^{-2} = \frac{1}{3^2} = \frac 1 9
\]

Answer 4

@aum Nice! Simplifies this whole problem

Answer 5

Thanks.

Answer 6

thank you for the help!