Herleid.
1p
\({a^{9} \over a^{2}}\)
○
\(a^{7}\)
1p
Herleid.
1p
\({4 a^{3} \over 5 a}\)
○
\({4 \over 5} a^{2}\)
1p
Herleid.
1p
\({10 x^{9} y^{7} \over 5 x y}\)
○
\(2 x^{8} y^{6}\)
1p
Herleid.
1p
\(({x \over 2 y})^{3}\)
○
\({x^{3} \over 8 y^{3}}\)
1p
Herleid.
1p
\(({x^{2} \over y^{5}})^{4}\)
○
\(({x^{2} \over y^{5}})^{4} = {x^{8} \over y^{20}}\)
1p
Herleid.
1p
\((p^{9})^{8}\)
○
\(p^{72}\)
1p
Herleid.
1p
\(x^{4} ⋅ (x^{8})^{9}\)
○
\(x^{4} ⋅ x^{72} = x^{76}\)
1p
Herleid.
1p
\(8 (a^{3})^{15} + 3 (a^{5})^{9}\)
○
\(8 a^{45} + 3 a^{45} = 11 a^{45}\)
1p
Herleid.
1p
\((x^{5 n + 4})^{6}\)
○
\(x^{30 n + 24}\)
1p
Herleid.
1p
\((6 p)^{5}\)
○
\(7\,776 p^{5}\)
1p
Herleid.
1p
\((-4 x)^{2}\)
○
\(16 x^{2}\)
1p
Herleid.
1p
\((-2 x)^{3}\)
○
\(-8 x^{3}\)
1p
Herleid.
1p
\((a^{4} b^{3})^{5}\)
○
\(a^{20} b^{15}\)
1p
Herleid.
1p
\(5 x^{2} + 4 x^{2}\)
○
\(9 x^{2}\)
1p
Herleid.
1p
\(4 p^{6} + 2 q + 5 p^{6} + 3 q\)
○
\(9 p^{6} + 5 q\)
1p
Herleid.
1p
\(3 a^{3} ⋅ 2 a^{2} - 5 a^{4} ⋅ 6 a\)
○
\(6 a^{5} - 30 a^{5} = -24 a^{5}\)
1p
Herleid.
1p
\(2 a^{6} + 6 a^{9}\)
○
Kan niet korter (k.n.k.).
1p
Herleid.
1p
\({p^{10} + p^{8} \over p^{5}}\)
○
\(p^{5} + p^{3}\)
1p
Herleid.
1p
\({4 x^{5} y^{6} + 21 x^{3} y^{9} \over 7 x^{2} y^{4}}\)
○
\({4 \over 7} x^{3} y^{2} + 3 x y^{5}\)
1p
Herleid.
1p
\(2 a^{4} ⋅ 3 a^{9}\)
○
\(2 a^{4} ⋅ 3 a^{9} = 2 ⋅ 3 ⋅ a^{4 + 9} = 6 a^{13}\)
1p
Herleid.
1p
\(2 p^{9} ⋅ 3 p ⋅ 8 p^{4}\)
○
\(2 p^{9} ⋅ 3 p ⋅ 8 p^{4} = 2 ⋅ 3 ⋅ 8 ⋅ p^{9 + 1 + 4} = 48 p^{14}\)
1p
Herleid.
1p
\(6 a^{3} b ⋅ -4 a^{5} b^{2}\)
○
\(-24 a^{8} b^{3}\)
1p
Herleid.
1p
\(a^{-3 n - 2} ⋅ a^{6 n + 4}\)
○
\(a^{3 n + 2}\)
1p