Question

ayuda por favor, estaría eternamente agradecido

Answer 1

Respuesta:

1)

$(-300\sqrt{30}-\sqrt{30} )+(1000\sqrt{20} +\sqrt{20}-100\sqrt{20} )\\(-300-1)\sqrt{30}+(1000+1-100)\sqrt{20}\\-299\sqrt{30}+901\sqrt{20}$

2)

$(-10y\sqrt[10]{p} +15y\sqrt[10]{p} )+(20x\sqrt{q}-35x\sqrt{q} +2x\sqrt{q} )\\(-10+15)y\sqrt[10]{p}+(20-35+2)x\sqrt{q}\\5y\sqrt[10]{p}-13x\sqrt{q}$

3)

$(a^{2/3}b^{5/3}c^{1/3})(a^{1/3}b^{1/3}c^{3/3})(a^{2/3}b^{2/3}c^{2/3})\\(a^{2/3}a^{1/3}a^{2/3})(b^{5/3}b^{1/3}b^{2/3})(c^{1/3}c^{3/3}c^{2/3})\\\\(a^{\frac{2}{3}+\frac{1}{3}+\frac{2}{3}})(b^{\frac{5}{3}+\frac{1}{3}+\frac{2}{3}})(c^{\frac{1}{3}+\frac{3}{3}+\frac{2}{3}})\\\\(a^{5/3})(b^{8/3})(c^{6/3})\\\\(a^{5/3})(b^{8/3})(c^{2})$

4)

$(p^{1/6}q^{10/6})(p^{4/6}q^{2/6}c^{12/6})\\(p^{1/6}p^{4/6})(q^{10/6}q^{2/6})(c^{2})\\\\(p^{\frac{1}{6} +\frac{4}{6} })(q^{\frac{10}{6}+\frac{2}{6} })(c^{2})\\\\(p^{5/6})(q^{12/6})(c^{2})\\\\(p^{5/6})(q^{2})(c^{2})$

5)

$(m^{5/5}p^{12/5})(m^{10/5}p^{5/5})\\(m^{5/5}m^{10/5})(p^{12/5}p^{5/5})\\\\(m^{\frac{5}{5}+\frac{10}{5}})(p^{\frac{12}{5}+\frac{5}{5}})\\\\(m^{15/5})(p^{17/5})\\\\(m^{3})(p^{17/5})$

6)

$(m^{9/15}n^{5/15})(m^{5/15}n^{10/15})\\(m^{9/15}m^{5/15})(n^{5/15}n^{10/15})\\\\(m^{\frac{9}{15}+\frac{5}{15}})(n^{\frac{5}{15}+\frac{10}{15}})\\\\(m^{14/15})(n^{15/5})\\(m^{14/15})(n^{3})$

7)

$(-1500\sqrt[3]{a} +100\sqrt[3]{a})+(200\sqrt[5]{b}-350\sqrt[5]{b} ) \\(-1500+100)\sqrt[3]{a}+(200-350)\sqrt[5]{b} \\-1400\sqrt[3]{a}-150\sqrt[5]{b}$

8)

$(x^{2/4}y^{3/4})(x^{2/4}w^{9/4})\\(x^{2/4}x^{2/4})(y^{3/4})(w^{9/4})\\(x^{4/4})(y^{3/4})(w^{9/4})\\(x)(y^{3/4})(w^{9/4})$

9)

$(3x\sqrt{5a}+15x\sqrt{5a} )+(-10m\sqrt{10c}-20m\sqrt{10c} )\\(3+15)x\sqrt{5a} +(-10-20)m\sqrt{10c}\\18x\sqrt{5a} -30m\sqrt{10c}$

Suerte!!