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Evaluate x^-2 (x = -3)

Sagot :

Hey there!

[tex]\mathsf{x^{-2}}[/tex]

[tex]\mathsf{= -3^{-2}}[/tex]

[tex]\mathsf{= -1 \times 3^{-2}}[/tex]

[tex]\mathsf{3^{-2}}[/tex]

[tex]\mathsf{= \dfrac{1}{3\times3}}[/tex]

[tex]\mathsf{= -1 \times \dfrac{1}{3\times3}}[/tex]

[tex]\mathsf{= -\dfrac{1}{3\times3}}[/tex]

[tex]\mathsf{3\times 3}[/tex]

[tex]\mathsf{= 3^2}[/tex]

[tex]\mathsf{= - \dfrac{1}{3^2}}[/tex]

[tex]\mathsf{3^2}[/tex]

[tex]\mathsf{= 3 \times 3}[/tex]

[tex]\mathsf{= \bf 9}[/tex]

[tex]\mathsf{-\bf \dfrac{1}{9}}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: }\boxed{\bf - \dfrac{1}{9}}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]