Question

Rewrite the radical expression as an expression with rational exponents.

cube root of x to the power of 8

Answer 1

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

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`