Describe how to transform (^6 sqrt x^5)^7 into an expression with a rational exponent.

The expression [tex](\sqrt[6]{x^{5}})^{7}[/tex] expressed in form of a rational exponent gives;[tex]x^{35/6}[/tex]       A rational exponent is defined as an exponent that is expressed as a fraction.That means we want to transform the given expression into one with an exponent that is a fraction.The given expression is;[tex](\sqrt[6]{x^{5}})^{7}[/tex]Now, we can see we have a sixth root and the exponent inside the sixth root is 5.Now, for example, if we have a cube root of say y, it is expressed as; ∛y. However, it can also be expressed as a rational exponent as; [tex]y^{1/3}[/tex]Because the exponent of y inside the cube root is 1.Applying that cube root example to our given expression, we can write it as;[tex](x^{5/6})^{7}[/tex]From multiplication property of exponents, we multiply both exponents to get;[tex]x^{35/6}[/tex]Read more at;