Machten herleiden
Herleid.
1p
\({a^{5} \over a^{3}}\)
○
\(a^{2}\)
1p
Herleid.
1p
\({3 x^{8} \over 4 x^{2}}\)
○
\({3 \over 4} x^{6}\)
1p
Herleid.
1p
\({32 x^{5} y^{9} \over 4 x^{2} y}\)
○
\(8 x^{3} y^{8}\)
1p
Herleid.
1p
\(({p \over 5 q})^{3}\)
○
\({p^{3} \over 125 q^{3}}\)
1p
Herleid.
1p
\(({a^{6} \over b^{2}})^{3}\)
○
\(({a^{6} \over b^{2}})^{3} = {a^{18} \over b^{6}}\)
1p
Herleid.
1p
\((a^{9})^{7}\)
○
\(a^{63}\)
1p
Herleid.
1p
\(x^{3} ⋅ (x^{9})^{7}\)
○
\(x^{3} ⋅ x^{63} = x^{66}\)
1p
Herleid.
1p
\(8 (a^{2})^{9} + 2 (a^{3})^{6}\)
○
\(8 a^{18} + 2 a^{18} = 10 a^{18}\)
1p
Herleid.
1p
\((x^{2 n + 6})^{4}\)
○
\(x^{8 n + 24}\)
1p
Herleid.
1p
\((5 x)^{2}\)
○
\(25 x^{2}\)
1p
Herleid.
1p
\((-5 a)^{4}\)
○
\(625 a^{4}\)
1p
Herleid.
1p
\((-6 x)^{5}\)
○
\(-7\,776 x^{5}\)
1p
Herleid.
1p
\((x y^{3})^{2}\)
○
\(x^{2} y^{6}\)
1p
Herleid.
1p
\(3 a^{4} + 5 a^{4}\)
○
\(8 a^{4}\)
1p
Herleid.
1p
\(a^{4} + 2 b^{3} + 6 a^{4} + 5 b^{3}\)
○
\(7 a^{4} + 7 b^{3}\)
1p
Herleid.
1p
\(6 a^{7} ⋅ 5 a - 3 a^{6} ⋅ 2 a^{2}\)
○
\(30 a^{8} - 6 a^{8} = 24 a^{8}\)
1p
Herleid.
1p
\(6 p^{6} + 3 p^{9}\)
○
Kan niet korter (k.n.k.).
1p
Herleid.
1p
\({p^{4} + p^{6} \over p^{1}}\)
○
\(p^{3} + p^{5}\)
1p
Herleid.
1p
\({2 x^{5} y^{9} + 15 x^{6} y^{5} \over 3 x^{3} y^{4}}\)
○
\({2 \over 3} x^{2} y^{5} + 5 x^{3} y\)
1p
Herleid.
1p
\(7 x^{8} ⋅ 2 x^{3}\)
○
\(7 x^{8} ⋅ 2 x^{3} = 7 ⋅ 2 ⋅ x^{8 + 3} = 14 x^{11}\)
1p
Herleid.
1p
\(3 x^{2} ⋅ 5 x ⋅ 4 x^{8}\)
○
\(3 x^{2} ⋅ 5 x ⋅ 4 x^{8} = 3 ⋅ 5 ⋅ 4 ⋅ x^{2 + 1 + 8} = 60 x^{11}\)
1p
Herleid.
1p
\(-5 x^{2} y^{3} ⋅ -4 x^{6} y\)
○
\(20 x^{8} y^{4}\)
1p
Herleid.
1p
\(x^{-2 n - 4} ⋅ x^{5 n - 3}\)
○
\(x^{3 n - 7}\)
1p