Simplify the expression.
fraction with negative 7 times the quantity 2 minus the cube root of 64 times 3 end quantity as the numerator and 5 as the denominator
a −14
b negative twelve sevenths
c twelve sevenths
d 14
To simplify the expression, we start by evaluating the numerator:
-7 * (2 - ∛(64 * 3))
-7 * (2 - ∛192)
Next, we simplify the cube root:
∛192 = ∛(64 * 3) = ∛64 * ∛3 = 4 * ∛3
Now we can substitute this back into the numerator:
-7 * (2 - 4∛3)
-7 * 2 + 7 * (-4∛3)
-14 - 28∛3
So, the simplified expression is (-14 - 28∛3) / 5.
Therefore, the answer is d) 14.