Question

Can you solve this question with explination?

Answer 1

Explanation:

answer is (a) (b/a)^3

Answer 2

(a) = (b/a)^3

Explanation:

To simplify the expression (a^4 * b^4 * (ab)^(-4)) / (a^3 * b^(-3)), we can use the properties of exponents.

Let's break it down step by step:

First, simplify the numerator:

(a^4 * b^4 * (ab)^(-4)) = a^4 * b^4 * (a^(-4) * b^(-4))

= a^(4 + (-4)) * b^(4 + (-4))

= a^0 * b^0

= 1 * 1

= 1

Next, simplify the denominator:

(a^3 * b^(-3))

Now, divide the numerator by the denominator:

1 / (a^3 * b^(-3))

Since a^3 * b^(-3) is the denominator, we can rewrite it as a fraction with positive exponents:

1 / (a^3 * (1/b^3))

1 / (a^3/b^3)

To divide by a fraction, we can multiply by its reciprocal:

1 * (b^3/a^3)

b^3 / a^3

Therefore, the simplified expression is b^3 / a^3 = (b/a)^3.