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20 points please answer quick

20 points please answer quick-example-1
User ClicheName
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1 Answer

20 votes
20 votes

Answer:


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}

User Kalish
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