Question

(1+x/y)ˣ/ˣ⁻ʸ. 1+x/y. Solve it.

Answer 1

To solve the expression (1+x/y)^x/x^-y, we need to simplify it by applying the power rule and combining the numerator and denominator.

Step-by-step explanation:

To solve the expression (1+x/y)^x/x^-y, we need to simplify it first. Let's break it down step by step:

1. Apply the power rule to the numerator: (1+x/y)^x becomes (1^x)(x/y)^x = (1)(x^x/y^x) = x^x/y^x
2. Similarly, apply the power rule to the denominator: x^-y becomes 1/(x^y)
3. Combine the numerator and denominator: x^x/y^x / 1/(x^y)
4. To divide by a fraction, we multiply by its reciprocal:

x^x/y^x * x^y/1

Now, simplify the powers by adding the exponents: x^(x+y)/y^x. This is the simplified expression.