simplify \sqrt[3]{5^{2x}}

الحلّ

simplify

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

خطوات الحلّ

:فعْل قانون الجذور

= (5^{2 x})^{\frac{1}{3}}

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

:فعّل قانون القوى

= 5^{2 x \frac{1}{3}}

2 x \frac{1}{3}

بسّط:

\frac{2 x}{3}

= 5^{\frac{2 x}{3}}

(2 x y) (3 x^{2} y^{3}) (y)^{3}

2 x^{4} \cdot e^{- 2 x}

\frac{- 54}{27}

(3 a^{3}) (4 a^{5})

(2 a - 3 b)^{2} (2 a + 3 b)^{2}