4 (1/2)^x

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

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

simplify solve for inverse tangent line

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Steps Examples

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simplify 4(12 )^x

Solution

2^2−x

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Solution steps

One step at a time

4(12 )^x

Apply exponent rule: (ab )^c=a^cb^c

(12 )^x=1^x2^x

=4· 1^x2^x

Apply rule 1^a=1

1^x=1

=4· 12^x

Apply the fraction rule: a·bc =a· bc

=4· 12^x

Multiply the numbers: 4· 1=4

=42^x

Factor the number: 4=2²

=2²2^x

Apply exponent rule: x^ax^b =x^a−b

=2^2−x

Solve instead

f(x)=4(12 )^x

ddx (4(12 )^x)

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Notebook

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

4 (1/2)^x

Solution

Solution steps

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