Question

What is the simplified exponent of c in the expression: (5a ^ 4 * b ^ 2 * c)/(a ^ 3 * b) (1 point)
A. 6
B. -1
C. 0
D. 2
E. 1

Answer 1

To simplify the expression, we can cancel out the common factors in the numerator and denominator.

In the numerator, we have 5a^4 * b^2 * c.

In the denominator, we have a^3 * b.

Cancelling out the common factors, we are left with:

(5a^(4-3) * b^(2-1) * c) / 1

Simplifying further, we have:

(5a * b * c) / 1

Which is equal to:

5abc

Therefore, the simplified expression is 5abc.

The exponent of c in the simplified expression is 1.

Therefore, the answer is E) 1.