Simplify the Expression $$7 \sqrt [ 4 ] { \mathrm { m } ^ { 9 } \mathrm { p } ^ { 6 } } - 2 \mathrm {~m} ^ { 2 } \mathrm { p } \sqrt [ 4 ] { \mathrm { mp } ^ { 2 } }$$

question 606

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$7 \sqrt [ 4 ] { \mathrm { m } ^ { 9 } \mathrm { p } ^ { 6 } } - 2 \mathrm {~m} ^ { 2 } \mathrm { p } \sqrt [ 4 ] { \mathrm { mp } ^ { 2 } }$$

• A) \(5 m ^ { 2 } p \sqrt [ 4 ] { m ^ { 2 } }\)
• B) \(9 m p ^ { 2 } \sqrt [ 4 ] { m p ^ { 2 } }\)
• C) cannot be simplified
• D) 5

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Definitions:

Just Noticeable Difference

The minimal change in a stimulus that can just barely be detected by an organism.

Detection Paradigm

The detection paradigm is a method in psychological research focusing on the ability of subjects to detect a stimulus under different conditions to study perception and cognition.

Perceptual Set

An expectation of what will be perceived, which can affect what actually is perceived.

Absolute Threshold

The minimum intensity of a stimulus that is required to be detected at least 50% of the time by a subject.