Respuesta :

Answer:

The value of  w in the given equation is 2

Therefore w=2

Step-by-step explanation:

Given equation is [tex]5\times (w^3+4)=60[/tex]

To find the value of w in the given equation :

[tex]5\times (w^3+4)=60[/tex]

[tex](w^3+4)=\frac{60}{5}[/tex]

[tex](w^3+4)=12[/tex]

[tex]w^3=12-4[/tex]

[tex]w^3=8[/tex]

[tex]w^3=2^3[/tex]  (the number 8 can be written as the cubic powers of 2)

Since the powers are same so we can equate the base that is

[tex]w=2[/tex]

Therefore the value w is 2

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