Question

Use the rules of exponents to evaluate or simplify. Write without negative exponents.
(-243)^(3/5)

Answer 1

\[\huge\color{purple}{a^{b/c}=\sqrt[c]{a^b}}\]

Answer 2

Sorry got disconnected.

Answer 3

\[\huge\color{purple}{(-243)^{3/5}}\]
\[\huge\color{purple}{\sqrt[~~5]{(-243)^3}}\]
\[\huge\color{purple}{\sqrt[~~5]{(-3^5)^3}}\]
\[\huge\color{purple}{\sqrt[~~5]{(-3)^{(3 \times 5)}}}\]
\[\huge\color{purple}{\sqrt[~~5]{((-3)^3)~^5}}\]
\[\huge\color{purple}{\sqrt[~~5]{(-27)^5}}\]
\[\huge\color{purple}{-27}\]