Calculate the cube of any positive or negative number (x³ = x × x × x) with scientific notation and step-by-step arithmetic.
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In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together: n³ = n × n × n.
x^3 = x \times x \times x, \quad (-x)^3 = -x^3Unlike squares, cubing preserves the sign of the original number: positive cubed is positive, negative cubed is negative.
Scenario: Calculate the cube of -4
Given: x = -4
Operation: (-4)³ = (-4) × (-4) × (-4)
First multiplication: (-4) × (-4) = 16
Second multiplication: 16 × (-4) = -64
Because calculating the geometric volume of a three-dimensional cube with edge length s is s³: Volume = s³.
1, 8, 27, 64, 125, 216, 343, 512, 729, and 1,000.
Yes. Any negative number cubed produces a negative result because negative × negative × negative = negative.
Cube the numerator and denominator independently: (a/b)³ = a³ / b³.
Calculate the square of any positive or negative number (x² = x × x) with scientific notation and step-by-step arithmetic.
Calculate any base raised to the power of n (x^n) for positive, negative, and fractional exponents with step-by-step exponent laws.
Calculate the principal real cube root of positive and negative numbers. Identifies perfect cubes, nearest integer roots, and complex conjugate roots.