Final answer:
For a cube whose side length is 4 inches, the expression 4³ could represent volume.
Step-by-step explanation:
For a cube whose side length is 4 inches, the expression 4³ could represent the volume of the cube.
To calculate the volume of a cube, you raise the length of one side to the third power. In this case, since the side length is 4 inches, cubing that number (multiplying it by itself three times), gives us 4 × 4 × 4, which equals 64 cubic inches.
So, 4³ = 64 cubic inches.
The concept of raising a number to a power is a fundamental aspect of exponents in mathematics. With each increment in exponent value, we multiply the base number by itself that many times.
For example, 4 to the fourth power would be 4 × 4 × 4 × 4, and so on.
Hence, the expression 4³ for a cube with a side length of 4 inches represents the volume of the cube, which is 64 cubic inches.