Question

Express (30^2)^(1/3) in simplest radical form.

a) 10
b) 3
c) 30
d) 1

Answer 1

To express (30^2)^(1/3) in simplest radical form, we first cube the digit term and multiply the exponent of the exponential term by 3. The final answer is 1800.

Step-by-step explanation:

To express (30^2)^(1/3) in simplest radical form, we can follow the rule of cubing exponentials. First, we cube the digit term, which gives us 30^3. Then, we multiply the exponent of the exponential term by 3, giving us (2/3) * 3 = 2.

So the expression simplifies to 30^2 * 2.

Finally, we can calculate 30^2 = 900 and multiply it by 2, giving us the final answer of 1800. Therefore, the correct option is d) 1.