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

Respuesta :

Answer:

The answer  to your question is:  [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Data

                                          27⁻²/³

Process

                          [tex]\frac{1}{27^{2/3} }[/tex]

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

                         

27 = 3³

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

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

                        = [tex]\frac{1}{3^{6/3}}[/tex]

                        = [tex]\frac{1}{9}[/tex]

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