Question

Por favor, quem puder me ajudar, irei ficar muito grata!

Answer 1

6)

a)

$\sqrt{81a^2x^6}$

$\sqrt{81} . \sqrt{a^2}.\sqrt{x^6}$

$\sqrt{9^2}. \sqrt{a^2}.\sqrt{x^2.x^2.x^2}$

$9a\sqrt{x^2}\sqrt{x^2}\sqrt{x^2}$

$9axxx\\9ax^3$

b)

$\sqrt{\frac{25}{16}a^4b^{16}}$

$\frac{\sqrt{25} }{\sqrt{16} }\sqrt{a^4}.\sqrt{b^{16}}$

$\frac{5}{4}*a^{\frac{4}{2} }*b^{\frac{16}{2}}$

$\frac{5}{4}a^2b^8$

c)

$\frac{-\frac{x^7y^5}{3} }{\frac{5xy}{4} }$

$-\frac{x^7y^5}{3} *\frac{4}{5xy}$

$-\frac{4x^6y^4}{15}$

d)

$\frac{2xy}{3}+ \frac{xy}{4}$

$\frac{8xy+3xy}{12}$

$\frac{11xy}{12}$

e)

$-\frac{3ab^3}{5}*\frac{2a^2b^3}{5}$

$-\frac{6a^3b^6}{25}$

f)

$(-\frac{2x^3y^5}{3})^3$

$-\frac{(2)^3(x^3)^3(y^5)^3}{3^3}$

$-\frac{8x^9y^{15}}{27}$