Given that: (x^3 1)^1/3x^5 = x^5√(x^3 1^3) #10; #10; #10;=x^5√((x 1)(x^2+1 x)) . ...

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Exponents with Unlike Bases and Same Exponent

Simplify : x...

Question

Simplify : $(x^{3} - 1)^{\frac{1}{3}} x^{5}$

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Solution

Given that:
$(x^{3} - 1)^{\frac{1}{3}} x^{5}$

$= x^{5} \sqrt[3]{x^{3} - 1^{3}}$

$= x^{5} \sqrt[3]{(x - 1) (x^{2} + 1 - x)} .$

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