Verified Answer :

apologiabiology

remember
(x^m)(x^n)=x^(m+n)

and
\(\sqrt[n]{x^m} =x^{ \frac{m}{n} }\) so


\((\sqrt[7]{x^5})(\sqrt[7]{x^5})\) =
\((x^{ \frac{5}{7})(x^{ \frac{5}{7}) }\) =
\(x^(\frac{5}{7}+\frac{5}{7})\) =
 \(x^(\frac{10}{7})\)=
\((x^ \frac{7}{7} )(x^ \frac{3}{7})\)=
(x)(\(x^ \frac{3}{7}\)=
\(x \sqrt[7]{x^3}\)

meerkat18

The mathematical expression of the given above is,
                           (x^1/7)^5  x   (x^17)^5
Take note that for (x^n)^m, the answer is x^nm. For our expression above,
                                      (x^5/7)   x (x^5/7)
Another rule for exponent is that for (x^n) x (x^m) the answer would be x^(n + m). For the expression,
                                                x^10/7

Related Questions