vereinfachen 5(((5^3)/2)/(5))^2

Lösung

vereinfachen

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

\frac{3125}{4}

Dezimale

781.25

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

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

(\frac{5 ^{3}}{2})^{2} = \frac{15625}{4}

= 5 \cdot \frac{\frac{15625}{4}}{5 ^{2}}

5^{2} = 25

= 5 \cdot \frac{\frac{15625}{4}}{25}

\frac{\frac{15625}{4}}{25} = \frac{625}{4}

= 5 \cdot \frac{625}{4}

5 \cdot \frac{625}{4} = \frac{3125}{4}

= \frac{3125}{4}

s im pl i f y \frac{1}{9} \cdot 8

64 = 8 (r + 2)

f a c t or 6 x^{2} + 7 x - 24

s im pl i f y (64 + 120 i) (- 2 + 6 i)

\frac{3 x - 4}{2 x + 2} = 1