In mathematics and computer “^” means power
The answer is 1/9 or 0.111….
Below is how (-3)^-2 is calculated step by step
In this case we use the negative exponential rule
the negative exponents rule tells us that to get rid of a negative exponent, the numerator is converted to a denominator and vice versa.
(-3)^-2 is the same as (-3)-2
From the negative exponents rule above
. b = -3
. n = 2
When n (2) is taken to the denominator side it loses the negative sign as shown below
(-3)-2 = (-3) x (-3) = 9
negative x negative is a positive
Therefore the answer to (-3)^-2 is 1/9
Proper fraction form:
Decimal fraction form: 0.111…