vereinfachen (27a^{-3}b^6c^3)^{1/3}

Lösung

vereinfachen

(27 a^{- 3} b^{6} c^{3})^{\frac{1}{3}}

\frac{3 b ^{2} c}{a}

Schritte zur Lösung

(27 a^{- 3} b^{6} c^{3})^{\frac{1}{3}}

Wende Exponentenregel an:

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

(27 a^{- 3} b^{6} c^{3})^{\frac{1}{3}} = 2 7^{\frac{1}{3}} (a^{- 3})^{\frac{1}{3}} (b^{6})^{\frac{1}{3}} (c^{3})^{\frac{1}{3}}

= 2 7^{\frac{1}{3}} (a^{- 3})^{\frac{1}{3}} (b^{6})^{\frac{1}{3}} (c^{3})^{\frac{1}{3}}

2 7^{\frac{1}{3}} = 3

= 3 (a^{- 3})^{\frac{1}{3}} (b^{6})^{\frac{1}{3}} (c^{3})^{\frac{1}{3}}

Vereinfache

(a^{- 3})^{\frac{1}{3}} : \frac{1}{a}

= 3 \cdot \frac{1}{a} (b^{6})^{\frac{1}{3}} (c^{3})^{\frac{1}{3}}

Vereinfache

(b^{6})^{\frac{1}{3}} : b^{2}

= 3 \cdot \frac{1}{a} b^{2} (c^{3})^{\frac{1}{3}}

Vereinfache

(c^{3})^{\frac{1}{3}} : c

= 3 \cdot \frac{1}{a} b^{2} c

Vereinfache

3 \cdot \frac{1}{a} b^{2} c : \frac{3 b ^{2} c}{a}

= \frac{3 b ^{2} c}{a}

- \frac{t}{3} + 1 < 3

∣ - 5 x + 7 ∣ = 15

10000 \cdot (1.06)^{4} + 12000 = x \cdot \frac{( 1.06 ) ^{10} - 1}{0.06} + 2000

s im pl i f y 95 \cdot \frac{π}{180}

5 x = 5 x