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