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شائع >

simplify (3p^3q)^{3/4}

الحلّ

simplify

(3 p^{3} q)^{\frac{3}{4}}

الحلّ

3^{\frac{3}{4}} p^{\frac{9}{4}} q^{\frac{3}{4}}

خطوات الحلّ

(3 p^{3} q)^{\frac{3}{4}}

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

:فعّل قانون القوى

(3 p^{3} q)^{\frac{3}{4}} = 3^{\frac{3}{4}} (p^{3})^{\frac{3}{4}} q^{\frac{3}{4}}

= 3^{\frac{3}{4}} (p^{3})^{\frac{3}{4}} q^{\frac{3}{4}}

(p^{3})^{\frac{3}{4}}

بسّط:

p^{\frac{9}{4}}

= 3^{\frac{3}{4}} p^{\frac{9}{4}} q^{\frac{3}{4}}

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