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شائع >

simplify (-3x^4)^2

الحلّ

simplify

(- 3 x^{4})^{2}

الحلّ

9 x^{8}

خطوات الحلّ

(- 3 x^{4})^{2}

(- a)^{n} = a^{n},

if

n

is even :فعّل قانون القوى

(- 3 x^{4})^{2} = (3 x^{4})^{2}

= (3 x^{4})^{2}

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

:فعّل قانون القوى

(3 x^{4})^{2} = 3^{2} (x^{4})^{2}

= 3^{2} (x^{4})^{2}

3^{2} = 9

= 9 (x^{4})^{2}

a \geq 0

بافتراض أنّ

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

فعّل قانون القوى

(x^{4})^{2} = x^{4 \cdot 2}

= 9 x^{4 \cdot 2}

4 \cdot 2 = 8 :

اضرب الأعداد

= 9 x^{8}

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