To find the value of q in the equation q³ = 64, we need to perform a specific calculation known as taking the cube root of both sides of the equation.
Here’s how you can do it step by step:
- Start with the original equation:
- q³ = 64
- Take the cube root:
- The cube root operation can be mathematically expressed as:
- q = ∛64
- Calculate the cube root:
- Since 4 × 4 × 4 = 64, we can conclude that:
- q = 4
In summary, the value of q in the equation q³ = 64 is 4, as determined by taking the cube root of 64.