Question

Choose the correct simplification of the expression 4 over y to the power of negative 3.

A) 4y^3
B) 4 over y to the 3rd power
C) y to the 3rd power over 4
D) This expression is already simplified.

I have attached a picture to make it easier to read the question.

Answer 1

number 1

Explanation:

Answer 2

Answer: 4y³

Justification:

1) Given:


`(4)/(y^(-3))`

2) Property:

One of the properties of the quotient is that negative exponents are the reciprocals of the positive exponent. That translates into:


`x^(-a)= (1)/(x^a), and, x^a= (1)/(x^(-a))`

The answer is a direct application of that rule.