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شائع >

simplify (3x^{1/3})^2

الحلّ

simplify

(3 x^{\frac{1}{3}})^{2}

الحلّ

9 x^{\frac{2}{3}}

خطوات الحلّ

(3 x^{\frac{1}{3}})^{2}

(a \cdot b)^{n} = a^{n} b^{n}

:فعّل قانون القوى

(3 x^{\frac{1}{3}})^{2} = 3^{2} (x^{\frac{1}{3}})^{2}

= 3^{2} (x^{\frac{1}{3}})^{2}

3^{2} = 9

= 9 (x^{\frac{1}{3}})^{2}

a \geq 0

بافتراض أنّ

(a^{b})^{c} = a^{b c}

فعّل قانون القوى

(x^{\frac{1}{3}})^{2} = x^{\frac{1}{3} \cdot 2}

= 9 x^{\frac{1}{3} \cdot 2}

\frac{1}{3} \cdot 2 = \frac{2}{3}

= 9 x^{\frac{2}{3}}

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