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Rewrite the expression with rational exponents as a radical expression. 7 times x to the two thirds power

Respuesta :

Answer:

[tex](7x)^{\frac{2}{3}}[/tex]=[tex]\sqrt[3]{49x^{2} }[/tex]

Step-by-step explanation:

We have been given the expression;

7 times x to the two thirds power which can be written mathematically as;

[tex](7x)^{\frac{2}{3}}[/tex]

To express the above expression as a radical, we need to recall that;

[tex]a^{\frac{b}{n}}=\sqrt[n]{a^{b}}[/tex]

Therefore;

[tex](7x)^{\frac{2}{3}}=\sqrt[3]{(7x)^{2} }\\\\=\sqrt[3]{49x^{2} }[/tex]

Answer:

(7x)^{\frac{2}{3}}=\sqrt[3]{49x^{2} }

Step-by-step explanation:

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