Question

Using the properties of exponents, which expression is equivalent to xx34 ?(1 point)
Responses

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

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

x4
x superscript 4 baseline

x
x

Answer 1

To simplify the expression \( x^{x34} \), we first need to clarify what the expression represents, as it seems there might be a formatting issue. It looks like you might be referring to \( x^{x \cdot 34} \) or \( x^{x + 34} \).

However, if we take it as \( x^{\frac{1}{4}} \) since "xx34" may imply \( x^{1/4} \) or \( x^{x \cdot 34} \).

Given the options, the equivalent expression can be analyzed:

- \( 1 / \sqrt[4]{x} \) can be rewritten as \( x^{-1/4} \).
- \( \sqrt[4]{x} \) can be rewritten as \( x^{1/4} \).
- \( x^{4} \) is \( x^4 \) and not directly simplifying to the other forms.
- \( x \) is \( x^1 \) and does not represent \( x^{1/4} \).

Assuming you meant \( x^{1/4} \), let's compare these options.

**Answer**:
None of these expressions match \( x^{1/4} \) directly, but \( \sqrt[4]{x} \) represents \( x^{1/4} \).

Thus, the correct answer would be:

**\( x^{4} \) does not match**; instead, **\( x^{1/4} \) or \( \sqrt[4]{x} \) represents that expression.**

It's crucial to clarify the initial notation to give a precise answer!