Using the properties of exponents, which expression is equivalent to x/x3/4 ?(1 point)

1 answer

To simplify the expression \( \frac{x}{x^{3/4}} \) using the properties of exponents, we can apply the rule that states \( \frac{a^m}{a^n} = a^{m-n} \).

In this case, we have:

\[ \frac{x}{x^{3/4}} = x^{1 - \frac{3}{4}} = x^{\frac{4}{4} - \frac{3}{4}} = x^{\frac{1}{4}}. \]

Thus, the expression \( \frac{x}{x^{3/4}} \) simplifies to:

\[ x^{1/4}. \]

Therefore, the equivalent expression is \( x^{1/4} \).