Which can be used to describe an equivalent expression for (s Superscript 6 Baseline) Superscript negative 3? Adding the exponents will create an equivalent expression. Dividing the exponents will create an equivalent expression. There are three factors of StartFraction 1 Over s Superscript 6 Baseline EndFraction. There are three factors of StartFraction 1 Over s Superscript 3 Baseline EndFraction.

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Answer:

D

Step-by-step explanation:

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The equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive the equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

The given expression is;

[tex](x^{6} )^{-3}[/tex]

Required to Determine the equivalent expression.

First, we need to evaluate the expression in the bracket:

Apply the following law of indices:

[tex](x^a)^b = x ^{ab}[/tex]

So:

[tex](x^{6} )^{-3}[/tex]

becomes

[tex](x )^{6 \times -3}\\\\[/tex]

[tex](x )^{-18}[/tex]

Hence: the equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].

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