3square root 8x3 y8 z4Solution38x3y8z4 8x3y8z413 since na

3square root 8x^3 y^8 z^4

³(8x³y⁸z⁴) = (8x³y⁸z⁴)^1/3 since ⁿa = a^1/n

= (2³x³y⁸z⁴)^1/3

= (2³)^1/3 (x³)^1/3 (y⁸)^1/3 (z⁴)^1/3 since (abc)ⁿ = aⁿ bⁿ cⁿ

= 2 x y^8/3 z^4/3 since (a^m)ⁿ = a^mn

3square root 8x^3 y^8 z^4Solution3(8x3y8z4) = (8x3y8z4)1/3 since na = a1/n = (23x3y8z4)1/3 = (23)1/3 (x3)1/3 (y8)1/3 (z4)1/3 since (abc)n = an bn cn = 2 x y8/3

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