Question

Using the properties of exponents, which expression is equivalent to xx3/4 ?(1 point)
Responses

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

x4
x superscript 4 baseline

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

x

Answer 1

To simplify the expression \( x^{x^{3/4}} \) using the properties of exponents, we recognize that \( x^{3/4} \) can be interpreted in a few different forms, but let's just rewrite it directly.

1. \( x^{x^{3/4}} \) does not simplify in a straightforward way into any of the provided options directly.
2. However, assuming \( x \) is an exponent applied to a root:

We treat \( x^{3/4} \) as \( (x^3)^{1/4} = \sqrt[4]{x^3} \), but that's not exactly matching any of the responses either.

Now reviewing the responses:

1. \( 1/\sqrt[4]{x} \)
2. \( x^4 \)
3. \( \sqrt[4]{x} \)
4. \( x \)

None of the responses match the simplification \( x^{x^{3/4}} \) directly.

Could there be a typing error in the expression you meant to simplify? Please clarify. If you meant another expression or have additional context, please provide it. Based on what’s provided, the expression remains \( x^{3/4} \) and none match here directly.

If we look for which response is closest, then none of the answers directly reflect \( x^{3/4} \) or comparable transformations. Please confirm or clarify the original expression for a more accurate answer!