Question

Apply the property of integer exponents to generate equivalent expression to 4^0.5^-2/(-2)^-3with only positive exponents then solve the expression. Your answer will be a simplified fraction with no remaining exponents

Answer 1

the question is written wrong, since exponents associate to the right. It should have been
(4^0.5)^-2/(-2)^-3
= 2^-2 * (-2)^3
= -2

Answer 2

To apply the property of integer exponents, we can rewrite the expression as follows:

4^0.5^-2/(-2)^-3

= (1/4^2)/(-1/2)^3

Now, let's simplify this expression:

= (1/16)/(-1/8)

= 1/16 * -8/-1

= -8/16

= -1/2

Therefore, the simplified fraction with no remaining exponents is -1/2.

Answer 3

Apologies for the misunderstanding. You are correct.

Taking into account the proper order of operations for exponentiation:

(4^0.5)^-2/(-2)^-3

= (2^-2) * (-2)^3

= (1/2^2) * (-8)

= (1/4) * (-8)

= -8/4

= -2

Therefore, the simplified fraction with no remaining exponents is -2.