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

Question

Responses

1​x√4
Start Fraction 1 over root index 4 Start Root x End Root End Fraction

x
x

x−−√4
root index 4 Start Root x End Root

x4
x superscript 4 baseline

Answer 1

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

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

Now we need to identify which option is equivalent to \( x^{1/4} \).

The equivalent expression for \( x^{1/4} \) can also be written as \( \sqrt[4]{x} \).

Given the options you provided, the correct response is:

\( \sqrt[4]{x} \)

or

root index 4 Start Root x End Root

This represents \( x^{1/4} \).