Question

Rewrite the radical expression as an expression with rational exponents.

Answer 1

Answer: $(\sqrt[3]{x} )^8$

Step-by-step explanation:

Radical expression :

Cube root of any expression 'a' = $\sqrt[3]{a}$

Radical exponent:

'a' to the power n = $a^n$

Similarly cube root of x = $\sqrt[3]{x}$

cube root of x to the power of 8 = $(\sqrt[3]{x} )^8$

Now , the required radical expression with rational exponents for "cube root of x to the power of 8" = $(\sqrt[3]{x} )^8$

Hence, the required expression =$(\sqrt[3]{x} )^8$