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

`x^{(36)/(5) }`

Explanation:

The transformation is as follows:

As we know that

`a^{(m)/(n) } \rightarrow\sqrt[m]{a^(n)} \\\\\sqrt[m]{a^(n)} \rightarrow a^{(m)/(n) }\\\\(\sqrt[6]{x^5})^7 \rightarrow (x^{(5)/(6) })^7 \rightarrow x^{(5^* 7)/(6) }\\\\x^{(36)/(5) }`

In this way it would be transformed with a rational exponent