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شائع >

simplify (6x^5y^4)^3

الحلّ

simplify

(6 x^{5} y^{4})^{3}

الحلّ

216 x^{15} y^{12}

خطوات الحلّ

(6 x^{5} y^{4})^{3}

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

:فعّل قانون القوى

(6 x^{5} y^{4})^{3} = 6^{3} (x^{5})^{3} (y^{4})^{3}

= 6^{3} (x^{5})^{3} (y^{4})^{3}

6^{3} = 216

= 216 (x^{5})^{3} (y^{4})^{3}

(x^{5})^{3}

بسّط:

x^{15}

= 216 x^{15} (y^{4})^{3}

(y^{4})^{3}

بسّط:

y^{12}

= 216 x^{15} y^{12}

أمثلة شائعة

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