Final answer:
To simplify the expression (5v)^2/3, apply the power rule for exponents and take the cube root. For the expression radical 10k, interpret it as the square root of 10k.
Step-by-step explanation:
To simplify the expression (5v)^2/3, we can first apply the power rule for exponents. When we raise a power to another power, we multiply the exponents. Here, we have (5v)^2, so we multiply the exponents: 2 * 2 = 4. Next, we can take the cube root of 5v^4. The cube root of a number raised to a power is equal to raising the number to the power divided by the root. In this case, we have the cube root of 5v^4, so the answer is (5v^4)^(1/3), which simplifies to the cube root of 5v^4.
For the expression radical 10k, we can interpret it as the square root of 10k. The square root of a number is a value that when multiplied by itself, gives the original number. Therefore, the square root of 10k is the value that, when multiplied by itself, gives 10k.