vereinfachen ((p^2r^3)/(pr^4))^2

Lösung

vereinfachen

(\frac{p ^{2} r ^{3}}{p r ^{4}})^{2}

\frac{p ^{2}}{r ^{2}}

Schritte zur Lösung

(\frac{p ^{2} r ^{3}}{p r ^{4}})^{2}

Wende Exponentenregel an:

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

= \frac{( p ^{2} r ^{3} ) ^{2}}{( p r ^{4} ) ^{2}}

Vereinfache

(p^{2} r^{3})^{2} : p^{4} r^{6}

= \frac{p ^{4} r ^{6}}{( p r ^{4} ) ^{2}}

Vereinfache

(p r^{4})^{2} : p^{2} r^{8}

= \frac{p ^{4} r ^{6}}{p ^{2} r ^{8}}

Wende Exponentenregel an:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{p ^{4}}{p ^{2}} = p^{4 - 2}

= \frac{p ^{4 - 2} r ^{6}}{r ^{8}}

Subtrahiere die Zahlen:

4 - 2 = 2

= \frac{p ^{2} r ^{6}}{r ^{8}}

Wende Exponentenregel an:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{r ^{6}}{r ^{8}} = \frac{1}{r ^{8 - 6}}

= \frac{p ^{2}}{r ^{8 - 6}}

Subtrahiere die Zahlen:

8 - 6 = 2

= \frac{p ^{2}}{r ^{2}}

5 (3 d - 7) + 7 d = 10 d - (14 - 3 d)

2 x + 1 \leq 7

- 3 \geq 2 x + 3 > 7

s im pl i f y (2 + i) - (4 - 6 i) (- 3 + 3 i)

f a c t or 5 x^{2} - 5 x - 30