Question

ayuda por favor lo necesito para hoy​

Answer 1

Explicación paso a paso:

1.

$\sqrt[3]{ {(5)}^{9} } \times \sqrt[8]{(16) ^{4} } = \\ {(5)}^{ \frac{9}{3} } \times {(16)}^{ \frac{4}{8} } = \\ {5}^{3} \times {16}^{ \frac{1}{2} } = \\ 125 \times \sqrt{16} = \\ 125 \times 4 = 600$

2.

$\sqrt[4]{ {(5)}^{8} } \times \sqrt[5]{ {4}^{x} } = 100 \\ {(5)}^{2} \times \sqrt[5]{4^{x} } = 100 \\ 25 \sqrt[5]{ {4}^{x} } = 100 \\ \sqrt[5]{4^{x}} = \frac{100}{25} \\ {4}^{ \frac{x}{5} } = {4}^{1} \\ \frac{x}{5} = 1 \\ x = 5$

3.

$\sqrt[6]{ {(13)}^{18} } \times \sqrt[3]{( - 64)} = \\ {(13)}^{3} \times - 4 = \\ 2197 \times - 4 = \\ - 8788$

4.

$\sqrt{121} \times \sqrt[5]{(y)^{5} } = 110 \\ 11 \times y = 110 \\ y = \frac{110}{11} \\ y = 10$

5.

$\sqrt[3]{( - 125)} \times \sqrt[4]{(z)} = - 10 \\ - 5 \times {z}^{ \frac{1}{4} } = - 10 \\ {z}^{ \frac{1}{4} } = \frac{ - 10}{ - 5} \\ {z}^{ \frac{1}{4} } = 2 \\ z = {2}^{4} \\ z = 16$