Which expression is equivalent to x Superscript negative five-thirds? StartFraction 1 Over RootIndex 5 StartRoot x cubed EndRoot EndFraction StartFraction 1 Over RootIndex 3 StartRoot x Superscript 5 Baseline EndRoot EndFraction Negative RootIndex 3 StartRoot x Superscript 5 Baseline EndRoot Negative RootIndex 5 StartRoot x cubed EndRoot

Option B : is the expression equivalent to

Explanation:

The given expression is

Rewriting the expression using the exponent rule,

Hence, we get,

Simplifying, we get,

Applying the rule,

Thus, we have,

Now, we shall determine from the options that which expression is equivalent to

Option A:

The expression is not equivalent to simplified expression  

Thus, the expression is not equivalent to

Hence, Option A is not the correct answer.

Option B:

The expression is equivalent to the simplified expression  

Thus, the expression is equivalent to

Hence, Option B is the correct answer.

Option C:

The expression is not equivalent to the simplified expression

Thus, the expression is not equivalent to

Hence, Option C is not the correct answer.

Option D:

The expression is not equivalent to the simplified expression

Thus, the expression is not equivalent to

Hence, Option D is not the correct answer.

The equivalent expression to x Superscript negative five-thirds is "StartFraction 1 Over RootIndex 3 StartRoot x Superscript 5 Baseline EndRoot EndFraction"

Given:

x Superscript negative five-thirds

Given options:

Therefore, the equivalent expression to x Superscript negative five-thirds is "StartFraction 1 Over RootIndex 3 StartRoot x Superscript 5 Baseline EndRoot EndFraction"

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