Question

When −48c²d⁴ / −8cd is simplified, the result can be written in the form xcedf, where x is the coefficient, e is the exponent on the variable c, and f is the exponent on the variable d. Find the values of x, e, and f.

a) x = 6, e = 3, f = 2
b) x = 6, e = 2, f = 3
c) x = 3, e = 2, f = 4
d) x = 4, e = 3, f = 2

Answer 1

When simplifying -48c²d⁴ / -8cd, the result is 6cd³. The simplified form is x = 6, e = 1, and f = 3.

Step-by-step explanation:

When simplifying -48c²d⁴ / -8cd, we can cancel out common factors. The negative signs in the numerator and denominator cancel each other out, leaving us with 48c²d⁴ / 8cd. We can divide both the numerator and denominator by 8cd to simplify further.

48c²d⁴ / 8cd = 48c²d⁴ ÷ 8cd

= 6c^(2-1)d^(4-1)

= 6c¹d³

= 6cd³

Therefore, the simplified form is x = 6, e = 1, and f = 3.