evaluate the following expression
(-4/5)^2
(-4/5)^2=___ (simplify your answer. Type an integer or a fraction.)
(-4/5)^2 = (16/25)
To evaluate the expression (-4/5)^2, we square the numerator (-4) and denominator (5) separately.
Square of the numerator (-4): (-4)^2 = 16
Square of the denominator (5): (5)^2 = 25
So, (-4/5)^2 = 16/25.
The simplified answer is 16/25.
To evaluate the expression (-4/5)^2, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right).
In this case, we only have an exponent to evaluate.
To simplify the expression, we need to square the fraction (-4/5) by multiplying it by itself.
To square a fraction, we square the numerator and the denominator separately. This means we multiply -4 by -4, and 5 by 5.
(-4/5)^2 = (-4 * -4) / (5 * 5)
Multiplying -4 by -4 gives us a positive result: 16. And multiplying 5 by 5 gives us 25.
So the simplified expression is:
(-4/5)^2 = 16/25
Therefore, the answer is 16/25.