Answer:
The expression which represents the New Volume of cube is [tex]64x^{15}[/tex].
Step-by-step explanation:
Given:
Side length of cube(a) = [tex]2x^5[/tex]
Now Given that side length is doubled.
It means that the given side length is multiplied with 2.
New side length of cube (a) = [tex]2 \times 2x^5 = 4x^5[/tex]
Now We need to find the volume of cube with the new side length.
We know that Volume of a cube is equal to cube of side length.
Hence framing in equation form we get;
New Volume of cube = [tex]a^3[/tex]
Now Substituting the value of a as new side length we get;
New Volume of cube =[tex](4x^5)^3 = (4)^3(x^5)^3[/tex]
Now Using Law of Indices which states [tex](x^a)^b=x^{ab}[/tex]
Therefore New Volume of cube = [tex]64x^{15}[/tex]
Hence, The expression which represents the New Volume of cube is [tex]64x^{15}[/tex].
