Question

a)⁴√625= __ e __ Porque 5⁴=5.5.5.5=__
(-5)⁴ =(-5).(-5).(-5).(-5)=

b)√9/16 =__ e __ Porque ( 3/4 )² =( 3/4.(3/4)=__
(-3/4).(-3/4)=__​

Answer 1

Resposta:

Explicação passo-a-passo:

a) ⁴√625

= ⁴√5⁴

= 5

b) 5⁴

= 5 × 5 × 5 × 5

= 25 × 25

= 625

ou

= 5⁴

= 5 × 5 × 5 × 5

= 5¹ × 5¹ × 5¹ × 5¹

= 5^(1 + 1 + 1 + 1)

= 5⁴

c) √9/16

= √3²/16

= 3/16

d) (3/4) × (3/4)

= (3 × 3)/(4 × 4)

= 9/16

e) (-3/4) × (-3/4)

= 3/4 × 3/4

= 9/16

ou

= (-3/4) × (-3/4)

= (-3/4)¹ × (-3/4)¹

= (-3/4)^(1 + 1)

= (-3/4)²

Answer 2

Explicação passo-a-passo:

$\sqrt[4]{625} = 5 \: pois \: 5 {}^{4} = 625$

$b) \sqrt{ \frac{9}{16} } = \frac{ \sqrt{9} }{16} = \frac{3}{4 \: \: } \: \: pois \: \: \frac{3}{4} \times \frac{3}{4} = \frac{9}{16}$