## Trending News

Promoted

# Trigonometry Help Please?

Which of the following expressions are equivalent to x^4/7? why?

(x^4)^1/7 (4th rootx)^7 (7throotx)^4

(x^1/7)^4 4th rootx^7 7th rootx^4

### 1 Answer

Relevance

- Anonymous1 decade agoFavorite Answer
General Rules of Indices include:

a^(p / q) is equivalent to the q-th root of x^p.

a^(- p / q) is equivalent to 1 / [ a^(p / q) ].

(a^p)^q = a^(pq).

(x^4)^(1 / 7) = x^(4 * 1 / 7) = x^(4 / 7)

[ x^(1 / 7) ]^4 = x^(4 * 1 / 7) = x^(4 / 7)

(4th root of x)^7 = [ x^(1 / 4) ]^7 = x^(7 / 4)

4th root of (x^7) = (x^7)^(1 / 4) = x^(7 / 4)

(7th root of x)^4 = x^(4 / 7)

7th root of (x^4) = x^(4 / 7).

Still have questions? Get your answers by asking now.