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Number System — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsNumber System1 Mark
Question
Simplify $\sqrt[4]{81\text{x}^8\text{y}^4\text{z}^{16}}.$
✓

Answer

$\sqrt[4]{81\text{x}^8\text{y}^4\text{z}^{16}}$$=\sqrt[4]{3^4(\text{x}^2)^4\text{y}^4(\text{z}^4)^4}$
$=\sqrt[4]{(3\text{x}^2\text{y}\text{z}^4)^4}$
$=(3\text{x}^2\text{y}\text{z}^4)^{4\times\frac{1}{4}}$
$=3\text{x}^2\text{y}\text{z}^4$

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