Answered

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Describe how to transform (^6 sqrt x^5)^7 into an expression with a rational exponent. Make sure you respond with complete sentences.

Sagot :

Answer:

[tex]x^{\frac{36}{5} }[/tex]

Step-by-step explanation:

The transformation is as follows:

As we know that

[tex]a^{\frac{m}{n} } \rightarrow\sqrt[m]{a^{n}} \\\\\sqrt[m]{a^{n}} \rightarrow a^{\frac{m}{n} }\\\\(\sqrt[6]{x^5})^7 \rightarrow (x^{\frac{5}{6} })^7 \rightarrow x^{\frac{5^\times 7}{6} }\\\\x^{\frac{36}{5} }[/tex]

In this way it would be transformed with a rational exponent

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