Question

Simplify the expression.

fraction with negative 3 times the quantity 2 minus the cube root of 27 times 4 end quantity as the numerator and 5 as the denominator.

twelve fifths
6
negative twelve fifths
−6

Answer 1

The simplified result of the expression is -6.

Step-by-step explanation:

The expression to simplify is given as -3 × (2 - ∛{27 × 4}) / 5. First, we evaluate the cube root of 27 which is 3,

since 3³ = 27. Then we multiply this by 4 to get 12. Next, we subtract this from 2 to get -10.

Multiplying -10 by -3, the numerator becomes 30.

Lastly, we divide this by the denominator 5 to get the simplified result, which is -6.