Machten herleiden
Herleid.
1p
\({a^{9} \over a^{3}}\)
○
\(a^{6}\)
1p
Herleid.
1p
\({7 a^{8} \over 9 a^{3}}\)
○
\({7 \over 9} a^{5}\)
1p
Herleid.
1p
\({8 x^{7} y^{9} \over 4 x^{3} y^{2}}\)
○
\(2 x^{4} y^{7}\)
1p
Herleid.
1p
\(({a \over 6 b})^{3}\)
○
\({a^{3} \over 216 b^{3}}\)
1p
Herleid.
1p
\(({x^{5} \over y})^{3}\)
○
\(({x^{5} \over y})^{3} = {x^{15} \over y^{3}}\)
1p
Herleid.
1p
\((x^{8})^{7}\)
○
\(x^{56}\)
1p
Herleid.
1p
\(a^{7} ⋅ (a^{4})^{3}\)
○
\(a^{7} ⋅ a^{12} = a^{19}\)
1p
Herleid.
1p
\(6 (a^{2})^{6} + 8 (a^{3})^{4}\)
○
\(6 a^{12} + 8 a^{12} = 14 a^{12}\)
1p
Herleid.
1p
\((p^{5 n + 2})^{4}\)
○
\(p^{20 n + 8}\)
1p
Herleid.
1p
\((3 p)^{5}\)
○
\(243 p^{5}\)
1p
Herleid.
1p
\((-3 x)^{6}\)
○
\(729 x^{6}\)
1p
Herleid.
1p
\((-5 x)^{3}\)
○
\(-125 x^{3}\)
1p
Herleid.
1p
\((a b^{6})^{2}\)
○
\(a^{2} b^{12}\)
1p
Herleid.
1p
\(4 p^{5} + 2 p^{5}\)
○
\(6 p^{5}\)
1p
Herleid.
1p
\(5 x^{3} + 4 y^{6} + 2 x^{3} + y^{6}\)
○
\(7 x^{3} + 5 y^{6}\)
1p
Herleid.
1p
\(5 a^{4} ⋅ 2 a^{3} - 4 a^{2} ⋅ 6 a^{5}\)
○
\(10 a^{7} - 24 a^{7} = -14 a^{7}\)
1p
Herleid.
1p
\(4 a^{5} + 6 a^{8}\)
○
Kan niet korter (k.n.k.).
1p
Herleid.
1p
\({x^{8} + x^{7} \over x^{4}}\)
○
\(x^{4} + x^{3}\)
1p
Herleid.
1p
\({3 p^{3} q^{10} + 35 p^{2} q^{7} \over 7 p q^{5}}\)
○
\({3 \over 7} p^{2} q^{5} + 5 p q^{2}\)
1p
Herleid.
1p
\(2 a^{8} ⋅ 9 a^{5}\)
○
\(2 a^{8} ⋅ 9 a^{5} = 2 ⋅ 9 ⋅ a^{8 + 5} = 18 a^{13}\)
1p
Herleid.
1p
\(8 a^{6} ⋅ 5 a ⋅ 2 a^{9}\)
○
\(8 a^{6} ⋅ 5 a ⋅ 2 a^{9} = 8 ⋅ 5 ⋅ 2 ⋅ a^{6 + 1 + 9} = 80 a^{16}\)
1p
Herleid.
1p
\(-6 x^{2} y^{4} ⋅ -3 x^{5} y\)
○
\(18 x^{7} y^{5}\)
1p
Herleid.
1p
\(a^{4 n + 2} ⋅ a^{6 n + 5}\)
○
\(a^{10 n + 7}\)
1p