Final answer:
The cube root of −216 is −6, so the value of b is −6, which corresponds to option (a).
Step-by-step explanation:
To determine the value of b in the equation b³ = −216, we need to find a number that, when cubed, equals −216. To do this, we look for the cube root of −216, which is the inverse operation of cubing a number.
The cube root of −216 is −6, because (−6)³ = (−6) × (−6) × (−6) = −16 × 6 = −96 × 6 = −216.
Therefore, the value of b in the equation b³ = −216 is −6, which corresponds to option (a) −6.Langston Hughes was a renowned poet of the Harlem Renaissance known for his vivid and insightful portrayals of African American life. Robert Frost, another renowned American poet, often wrote about rural life and nature in New England, and he received four Pulitzer Prizes for his work. However, neither Hughes nor Frost wrote the poem in question. Emily Dickinson and Maya Angelou are also incorrect options as they are not associated with this specific line.