Respuesta :

fieryanswererft

Answer:

[tex]\sf y = 3.17[/tex]

explanation:

  • [tex]\sf y * y * y = 32[/tex]

apply rule:  a * a * a = a³

  • [tex]\sf y^3= 2^5[/tex]

changing sides, changes cubic to cubic root

  • [tex]\sf y = \sqrt[3]{2^5}[/tex]

simplify

  • [tex]\mathrm \huge {y = 2^{\frac{5}{3} }}[/tex]

In decimals

  • [tex]\sf y = 3.174802104[/tex]

In two decimal places

  • [tex]\sf y = 3.17[/tex]

Solution:

Note that:

  • y × y × y = y³ = 32

Taking a cube root both sides.

  • y³ = 32
  • => ∛y³ = ∛32

Writing the prime factors of 32.

  • => y = ∛2 x 2 x 2 x 2 x 2

Simplifying ∛32

  • => y = 2 x ∛2 x 2 = 2 x ∛4