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.
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
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