Which shows the following expression after the negative exponents have been eliminated?

StartFraction a cubed b Superscript negative 2 Baseline Over a b Superscript negative 4 Baseline EndFraction, a not-equals 0, b not-equals 0
StartFraction a cubed b Superscript negative 4 Baseline Over a b Superscript negative 2 Baseline EndFraction
StartFraction a b Superscript 4 Baseline Over a cubed b squared EndFraction
Negative StartFraction a cubed b Superscript 4 Baseline Over a b squared EndFraction
StartFraction a cubed b Superscript 4 Baseline a b squared EndFraction

The expression [tex]\rm \frac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \frac{a^3b^4}{ab^{2}}[/tex]. Then the correct option is D.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}[/tex]

And a ≠ 0 and b ≠ 0.

The negative exponents have been eliminated.

We know that 1/a⁻ⁿ = aⁿ.

Simplify the expression, then the expression will be

[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}\\\\\rm \rightarrow \dfrac{a^3b^4}{ab^{2}}[/tex]

The expression [tex]\rm \dfrac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \dfrac{a^3b^4}{ab^{2}}[/tex].

Then the correct option is D.

More about the Algebra link is given below.

https://brainly.com/question/953809

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