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Negative Exponent Calculator

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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Steps Examples

Generated by AI

e^{(8 −7
1 0
)}

Solution

(

7`e`⁷−`e`6	−7`e`⁷+7`e`6
`e`⁷−`e`6	−`e`⁷+7`e`6

)

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Solution steps

One step at a time

e^{(8 −7
1 0
)}

Diagonaliser (

8	−7
1	0

): (

7	1
1	1

)(

7	0
0	1

)(

16	−16
−16	76

)

Pour une matrice diagonalisable A=PDP⁻¹ la matrice exponentielle est e^A=Pe^DP⁻¹

7	1
1	1

)e^{(7 0
0 1
)}(

16	−16
−16	76

)

e^{(7 0
0 1
)}=(

`e`⁷	0
0	`e`

)

7	1
1	1

)(

`e`⁷	0
0	`e`

)(

16	−16
−16	76

)

(

7	1
1	1

)(

`e`⁷	0
0	`e`

)(

16	−16
−16	76

)=(

7`e`⁷−`e`6	−7`e`⁷+7`e`6
`e`⁷−`e`6	−`e`⁷+7`e`6

)

7`e`⁷−`e`6	−7`e`⁷+7`e`6
`e`⁷−`e`6	−`e`⁷+7`e`6

)

Negative Exponent Examples

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1 0
)} ou choisissez ci-dessous

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Notebook

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

1	−2
−2	0

Negative Exponent Calculator

Solution

Solution steps

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