Answer: [tex](\sqrt[3]{x} )^8[/tex]
Step-by-step explanation:
Radical expression :
Cube root of any expression 'a' = [tex]\sqrt[3]{a}[/tex]
Radical exponent:
'a' to the power n = [tex]a^n[/tex]
Similarly cube root of x = [tex]\sqrt[3]{x}[/tex]
cube root of x to the power of 8 = [tex](\sqrt[3]{x} )^8[/tex]
Now , the required radical expression with rational exponents for "cube root of x to the power of 8" = [tex](\sqrt[3]{x} )^8[/tex]
Hence, the required expression =[tex](\sqrt[3]{x} )^8[/tex]