Final answer:
To find the value of h, given that h³ = 343, Ashley should use the expression option a or b. ³√343, which represents the cube root of 343. This will 'undo' the cubing operation and yield the original value of h.
Step-by-step explanation:
Ashley knows that h³ = 343. The correct expression to find the value of h is ³√343, which stands for the cube root of 343. To solve for h, we take the cube root because it is the inverse operation of cubing a number. When a number is cubed (e.g., h to h³), the cube root will 'undo' this operation to return the original number h. Therefore, h = ³√343 will give us the correct value.
Using a calculator, one can verify the value of the cube root of 343. It's essential to understand how to use the cube root function on a calculator to obtain the correct value. For this example, when we calculate the cube root of 343, we find that h = 7 because 7³ = 7 x 7 x 7 = 343. So, the cube root is the correct mathematical operation needed to solve for h, and the option ³√343 is the correct choice.