Final answer:
Expression B, -1,331m^18,15 p^21, is the perfect cube because the numerical coefficient and the exponents are consistent with the properties of a perfect cube.
Step-by-step explanation:
To determine which expression is a perfect cube, we can apply the principle of cubing of exponentials. This involves cubing the numerical coefficient and multiplying the exponents of any variables by 3. A perfect cube would be an expression that results from raising a binomial to the third power.
Looking at the options provided, we're interested in an expression that represents a number or variable raised to a power that is a multiple of 3. The expression -1,331m^18,15 p^22 cannot be a perfect cube because the exponent 22 is not a multiple of 3. However, expression B, which is -1,331m^18,15 p^21, shows integers as exponents that are all multiples of 3 (18 and 15) and a numerical coefficient (-1,331) that is actually the cube of -11 (-11 * -11 * -11 = -1,331), making it the perfect cube.