The mathematical expression that is equivalent to negative two raised to the fourth power divided by negative two raised to the second power is negative two raised to the sixth power divided by negative two raised to the fourth power; option D.
A mathematical expression is an expression which uses mathematical symbols and mathematical operations to represent an idea.
Two mathematical expressions are equivalent if they have the same value
The expression that is equivalent to negative two raised to the fourth power divided by negative two raised to the second power can be written as (-2)⁴/(-2)² = 2²
An equivalent expression is negative two raised to the sixth power divided by negative two raised to the fourth power written as : (-2)⁶/(-2)⁴ = 2²
In conclusion, two mathematical expressions are equivalent if they have the same value when fully expressed.
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