Recognize cube root of x: First, recognize that root(3)(x^(4)) means the cube root of x to the fourth power. We can rewrite the cube root as an exponent: (x)(x^(4/3)).Rewrite as exponent: Next, apply the property of exponents that states when you multiply like bases, you add the exponents: x^(1) * x^(4/3) = x^(1 + 4/3).Apply exponent property: Now, add the exponents: 1 + 4/3 = 3/3 + 4/3 = 7/3.Add exponents: Finally, write the expression with the combined exponent: x^(7/3).

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$(x)\left(\sqrt[3]{x^{4}}\right)=$

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Algebra 2

Simplify variable expressions using properties

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(x)\left(\sqrt[3]{x^{4}}\right)=

Recognize cube root of $x$ : First, recognize that $ext{root}(3)(x^{4})$ means the cube root of $x$ to the fourth power. We can rewrite the cube root as an exponent: $(x)(x^{4/3})$ .
Rewrite as exponent: Next, apply the property of exponents that states when you multiply like bases, you add the exponents: $x^{1} \times x^{\frac{4}{3}} = x^{1 + \frac{4}{3}}$ .
Apply exponent property: Now, add the exponents: $1 + \frac{4}{3} = \frac{3}{3} + \frac{4}{3} = \frac{7}{3}$ .
Add exponents: Finally, write the expression with the combined exponent: $x^{\frac{7}{3}}$ .