Question

Using the properties of exponents, which expression is equivalent to x/x^3/4
?(1 point)

Answer 1

To simplify the expression \( \frac{x}{x^{3/4}} \) using the properties of exponents, you can use the rule that states:

\[
\frac{a^m}{a^n} = a^{m-n}
\]

In this case, we have:

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

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

\[
x^{\frac{1}{4}}
\]

So the equivalent expression is:

\[
x^{1/4}
\]