simplify (2/3)^2(2/3)^3

الحلّ

simplify

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

\frac{32}{243}

العشري

0.13168 \dots

خطوات الحلّ

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

a^{b} \cdot a^{c} = a^{b + c}

:فعّل قانون القوى

(\frac{2}{3})^{2} (\frac{2}{3})^{3} = (\frac{2}{3})^{2 + 3}

= (\frac{2}{3})^{2 + 3}

2 + 3 = 5 :

اجمع الأعداد

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

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

:فعّل قانون القوى

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

2^{5} = 32

= \frac{32}{3 ^{5}}

3^{5} = 243

= \frac{32}{243}

x^{3} - 3^{3}

2 (x + 1)^{2} - 3

(4 x^{2} y^{3} + 2 x y^{2} - 2 y) - (- 7 x^{2} y^{3} + 6 x y^{2} - 2 y)

\frac{7}{8} + \frac{1}{4}

(\frac{1 + cot ( x )}{1 - cot ( x )})^{2}