Which of the following expressions is equivalent to the one shown below (-3)^2*(-3)^9 A. (-3)^11 B. (-3)^7 C. (-3)^10 D. (-3)^18

Respuesta :

Answer:

It is A

Step-by-step explanation:

The equivalent expressions of the [tex](-3)^2[/tex]×[tex](-3)^9[/tex] will be [tex](-3)^{11[/tex]so option (A) will be the correct answer.

What is the rule of indices?

If we have two terms with the same base but different superscript multiplication then the results will be the same base with the addition of superscript.

For example 7² ₓ 7⁴ = [tex]7^{(2+4)}[/tex].

Given that  [tex](-3)^2[/tex]×[tex](-3)^9[/tex]

Since base are the same so by the indices rule

⇒ [tex](-3)^{(2+9)}[/tex]

⇒    [tex](-3)^{11[/tex]  Hence (-3) will be the correct answer.

For more information about indices

https://brainly.com/question/28093573

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