Which is equal to -a/b / b/a?
A. -1
B. 1
C. a2/b2
D. -a2/b2
E. -a/b
To solve this, we need to simplify the expression -a/b / b/a.
First, we can simplify the division of -a/b by b/a by multiplying both the numerator and denominator by a:
(-a/b) * (a/b) = (-a*a) / (b*b)
Simplifying further:
a^2 / b^2
Thus, the expression -a/b / b/a is equal to a^2 / b^2.
Therefore, the answer is C. a^2/b^2.
To simplify the expression -a/b ÷ b/a, we can follow the steps:
Step 1: Invert the denominator and multiply.
-a/b ÷ b/a becomes -a/b × a/b.
Step 2: Multiply the numerators and denominators.
(-a × a) / (b × b) = -a² / b².
Therefore, the expression -a/b ÷ b/a is equal to option D. -a²/b².
To find the value of -a/b divided by b/a, we can simplify the expression step by step.
Step 1: Simplify the division of -a/b by b/a to a common denominator.
The expression -a/b divided by b/a can be written as (-a/b) * (a/b) since dividing by x is the same as multiplying by 1/x.
Step 2: Multiply the numerators together and the denominators together.
(-a * a) / (b * b)
Step 3: Simplify the expression.
After multiplying the numerators and denominators, we have:
-a * a = -a^2
b * b = b^2
Thus, the expression becomes -a^2 / b^2.
Therefore, the answer is option D. -a^2/b^2.