Question

Rewrite the following exponential expressions as equivalent radical expressions. If the number is rational, write it without radicals or exponents.
27^(−2/3)

Answer 1

Answer:

The answer  to your question is:  $\frac{1}{9}$

Step-by-step explanation:

Data

                                          27⁻²/³

Process

                          $\frac{1}{27^{2/3} }$

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

                         

27 = 3³

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

                         = $\frac{1}{\sqrt[3]{3^{6} } }$

                        = $\frac{1}{3^{6/3}}$

                        = $\frac{1}{9}$

Answer 2

Answer:

1/9

Step-by-step explanation:

simplify

27^(-2/3)

= 1/27^(2/3)

= 1/[27^(1/3)]²

= 1/{[3×3×3]^(1/3)}²

= 1/3²

= 1/9

it's easy