Answer:
r=8
Explanation:
To solve this, we need to get the variable, r, by itself.
r^3=512
r is being cubed. To undo this and isolate r, we can take the cube root of both sides. This will cancel out the exponent, and leave r by itself.
∛r^3=∛512
r=∛512
r=8
If we want to check the solution, substitute 8 in for r.
r^3=512
8^3=512
8^3 is the same as 8*8*8
8*8*8=512
64*8=512
512=512
This is true, so we know that r is 8.