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

Answer: 4y³

Justification:

1) Given:

$\frac{4}{y^{-3}}$

2) Property:

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

$x^{-a}= \frac{1}{x^a}, and, x^a= \frac{1}{x^{-a}}$

The answer is a direct application of that rule.

Answer 2

Answer:

number 1

Step-by-step explanation: