What value of r makes the following true?

r^3=512

r=8

Step-by-step 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.