Use the Properties of Exponents to Simplify the Expression $\frac { x ^ { 3 / 2 } \cdot x ^ { - 4 / 7 } } { x ^ { - 2 / 3 } }$

question 11

Multiple Choice

Use the properties of exponents to simplify the expression. Write with positive exponents.
- $\frac { x ^ { 3 / 2 } \cdot x ^ { - 4 / 7 } } { x ^ { - 2 / 3 } }$

• A) \(\frac { 1 } { x ^ { 11 / 42 } }\)
• B) \(x ^ { 67 / 42 }\)
• C) \(\mathrm { x } ^ { 11 / 42 }\)
• D) \(\frac { 1 } { x ^ { 67 / 42 } }\)

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Definitions:

Level of Conformity

The degree to which an individual aligns their behavior or beliefs to those of a group.

Level of Adaptability

The degree to which an individual can adjust their behavior or thinking in response to new, challenging, or changing situations.

Stable Routine

A consistent and predictable schedule of activities that provides structure and stability in daily life.

Independent

Characterized by the ability or condition of having autonomy or self-governance.