Question

aplica las propiedades y resolver​

Answer 1

Respuesta:

1 / 2√5

Explicación paso a paso:

Formula : -

( a )^m ( a )^n = a^( m + n )

Aqui,

a = 2√5

m = 3

n = - 4

( 2√5 )^3 ( 2√5 )^-4

= ( 2√5 )^( 3 - 4 )

= ( 2√5 )^-1

Formula : -

a^-x = 1 / a^x

Aqui,

a = 2√5

x = - 1

( 2√5 )^-1 = 1 / 2√5

Answer 2

$(2 \sqrt{5} {)}^{3} = {2}^{3} \times { \sqrt{(5)} }^{3} = 8 \times \sqrt{ {5}^{2} } \times \sqrt{5}$

$8 \times 5 \times \sqrt{5}$

$40 \times \sqrt{5}$

$40 \sqrt{5}$

$(2 \sqrt{5} {)}^{ - 4} = \frac{1}{16 \times 25} = \frac{1}{400}$

$40 \sqrt{5} \times \frac{1}{100}$

$40 \sqrt{5} \times \frac{1}{400} = \frac{1 \sqrt{5} }{10} = \frac{ \sqrt{5} }{10}$