Question

What is simplified form of the expression -(4)^-2

Answer 1

- (4) ^ - 2
By properties of exponents we have:
- (1 / (4) ^ 2)
Rewriting the expression:
- (1 / (4 * 4))
- (1 / (16))
Answer:
simplified form of the expression - (4) ^ - 2 is:
-1/16

Answer 2

Answer:
-1/16

Step-by-step explanation:
First, when we have a negative power in the numerator, the number with this power will be moved to the denominator and the power is converted to a positive one.
In other words: a^-x = 1 / a^x

In the question, we have:
-(4)^-2
This can be written as:
- 1 / 4^2 = -1 / (4*4) = -1/16

Hope this helps :)