Question

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

x
x

x4
x superscript 4 baseline

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

1​x√4

Answer 1

To simplify the expression \( xx^{34} \) using the properties of exponents, you can combine the exponents since you are multiplying the same base \( x \).

The property of exponents states that \( a^m \cdot a^n = a^{m+n} \).

So:

\[
xx^{34} = x^{1} \cdot x^{34} = x^{1+34} = x^{35}
\]

Now, let's compare it to the given responses:

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

None of these options are equal to \( x^{35} \).

If you need to express \( x^{35} \) in different forms or if there was an error in options provided, please check the options again. However, based on the information given, the simplified expression is \( x^{35} \).