Question

20 points please answer quick

Answer 1

`x^8\sqrt[3]{x}`

Explanation:

`\sqrt[3]{x^(25)}`

Apply the exponent rule
`a^(b+c)=a^b \cdot a^c`

`\implies \sqrt[3]{x^((24+1))}=\sqrt[3]{x^(24)x^1}=\sqrt[3]{x^(24)x}`

Apply the radical rule
`√(ab) =√(a)√(b)`:

`\implies =\sqrt[3]{x^(24)x}=\sqrt[3]{x^(24)}\sqrt[3]{x}`

Apply the radical rule
`\sqrt[a]{x^b} =x^{(b)/(a)}`:

`\implies \sqrt[3]{x^(24)}\sqrt[3]{x}=x^{(24)/(3)}\sqrt[3]{x}=x^8\sqrt[3]{x}`