the expression 8^5/3 can be calculated exactly as 32 by finding the cube root first and then raising it to the

Question

the expression 8^5/3 can be calculated exactly as 32 by finding the cube root first and then raising it to the fifth power. true or false

GPT-5 mini · Accepted Answer

True.

8^(5/3) = (8^(1/3))^5. The cube root of 8 is 2, so (8^(1/3))^5 = 2^5 = 32. (Equivalently, (8^5)^(1/3) = cube root of 32768 = 32.)

the expression 8^5/3 can be calculated exactly as 32 by finding the cube root first and then raising it to the fifth power. true or false