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Choose an expression that is equivalent to negative four raised to the fourth power divided by negative four raised to the second power.

negative four raised to the second power divided by negative four raised to the fourth power
negative four raised to the fifth power divided by negative four
negative four raised to the sixth power divided by negative four raised to the fourth power
negative four divided by negative four raised to the fifth power

Respuesta :

The equivalent expression for the given expression is 4² or 16.

The given expression is [tex]\frac{-4^{4} }{-4^{2}}[/tex].

We need to write the equivalent expression for the given expression.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Now, [tex]\frac{-4^{4} }{-4^{2}}[/tex] can be simplified as follows:

=[tex]4^{4} \times4^{-2} =4^{4-2}[/tex]   (∵[tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex])

=4²=16

Therefore, the equivalent expression for the given expression is 4² or 16.

To learn more about the equivalent expression visit:

https://brainly.com/question/27911936.

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