Question

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

Answer 1

Answer:

$x^{\frac{36}{5} }$

Step-by-step explanation:

The transformation is as follows:

As we know that

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

In this way it would be transformed with a rational exponent