Herleid.
1p
\({p^{5} \over p^{2}}\)
○
\(p^{3}\)
1p
Herleid.
1p
\({5 p^{9} \over 7 p^{5}}\)
○
\({5 \over 7} p^{4}\)
1p
Herleid.
1p
\({42 x^{4} y^{5} \over 6 x y^{3}}\)
○
\(7 x^{3} y^{2}\)
1p
Herleid.
1p
\(({x \over 5 y})^{3}\)
○
\({x^{3} \over 125 y^{3}}\)
1p
Herleid.
1p
\(({p^{4} \over q^{5}})^{2}\)
○
\(({p^{4} \over q^{5}})^{2} = {p^{8} \over q^{10}}\)
1p
Herleid.
1p
\((x^{4})^{7}\)
○
\(x^{28}\)
1p
Herleid.
1p
\(x^{7} ⋅ (x^{4})^{2}\)
○
\(x^{7} ⋅ x^{8} = x^{15}\)
1p
Herleid.
1p
\(6 (p^{3})^{8} + 3 (p^{2})^{12}\)
○
\(6 p^{24} + 3 p^{24} = 9 p^{24}\)
1p
Herleid.
1p
\((x^{6 n + 4})^{2}\)
○
\(x^{12 n + 8}\)
1p
Herleid.
1p
\((2 x)^{3}\)
○
\(8 x^{3}\)
1p
Herleid.
1p
\((-5 x)^{2}\)
○
\(25 x^{2}\)
1p
Herleid.
1p
\((-4 x)^{5}\)
○
\(-1\,024 x^{5}\)
1p
Herleid.
1p
\((a^{3} b^{5})^{4}\)
○
\(a^{12} b^{20}\)
1p
Herleid.
1p
\(2 p^{3} + 4 p^{3}\)
○
\(6 p^{3}\)
1p
Herleid.
1p
\(6 a^{3} + 5 b^{2} + a^{3} + 4 b^{2}\)
○
\(7 a^{3} + 9 b^{2}\)
1p
Herleid.
1p
\(2 a^{4} ⋅ 4 a^{2} - 6 a^{3} ⋅ 5 a^{3}\)
○
\(8 a^{6} - 30 a^{6} = -22 a^{6}\)
1p
Herleid.
1p
\(4 x^{8} + 2 x^{7}\)
○
Kan niet korter (k.n.k.).
1p
Herleid.
1p
\({a^{4} + a^{5} \over a^{2}}\)
○
\(a^{2} + a^{3}\)
1p
Herleid.
1p
\({3 p^{6} q^{7} + 8 p^{9} q^{4} \over 4 p^{4} q^{3}}\)
○
\({3 \over 4} p^{2} q^{4} + 2 p^{5} q\)
1p
Herleid.
1p
\(9 x^{3} ⋅ 7 x^{5}\)
○
\(9 x^{3} ⋅ 7 x^{5} = 9 ⋅ 7 ⋅ x^{3 + 5} = 63 x^{8}\)
1p
Herleid.
1p
\(5 a^{4} ⋅ 8 a ⋅ 9 a^{6}\)
○
\(5 a^{4} ⋅ 8 a ⋅ 9 a^{6} = 5 ⋅ 8 ⋅ 9 ⋅ a^{4 + 1 + 6} = 360 a^{11}\)
1p
Herleid.
1p
\(-4 a^{2} b ⋅ -6 a^{3} b^{5}\)
○
\(24 a^{5} b^{6}\)
1p
Herleid.
1p
\(p^{4 n - 6} ⋅ p^{5 n + 2}\)
○
\(p^{9 n - 4}\)
1p