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Write each expression with a single rational exponent. Show each step of your process. Which expressions are equivalent? Justify your reasoning.A. 4√x³B.1/x-1C. 10/x5x¹.x²D. x³x³x³

Write each expression with a single rational exponent Show each step of your process Which expressions are equivalent Justify your reasoningA 4xB1x1C 10x5xxD xx class=

Respuesta :

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[tex]\sqrt[4]{x^3}[/tex]

Using the law of indices:

[tex]x^{\frac{1}{n}}=\sqrt[n]{x}[/tex]

So,

[tex]\sqrt[4]{x^3\text{ }}=(x^3)^{\frac{1}{4}}[/tex]

Multiplying the powers

[tex]x^{3\times\frac{1}{4}}\text{ }[/tex]

the final expression will be:

[tex]x^{\frac{3}{4}}[/tex]

The final expression is x^(2/4)

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