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

Solutions > Radicals Product Rule Calculator >

cube root of 81

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

☐²

x^☐

√☐

^□√☐

□□

log_□

π

θ

∞

∫

ddx

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

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simplify ³√81

Solution

3³√3

Decimal

4.32674…

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Solution steps

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³√81

Prime factorization of 81: 3⁴

=³√3⁴

Apply exponent rule: a^b+c=a^b· a^c

3⁴=3³· 3

=³√3³· 3

Apply radical rule: ⁿ√ab=ⁿ√aⁿ√b, a≥0, b≥0

³√3³· 3=³√3³³√3

=³√3³³√3

Apply radical rule: ⁿ√aⁿ=a, a≥0

³√3³=3

=3³√3

Radicals Product Rule Examples

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