Question

Simplify the following, expressing the answer with positive exponent ?

Answer 1

`a^(n + 2) times b^(n + 1) times c^(n - 1)`

Explanation:

We have: `frac(a^(2 n - 1) times b^(3) times c^(1 - n))(a^(n - 3) times b^(2 - n) times c^(2 - 2 n))`

Using the laws of exponents:

`= a^(2 n - 1 - (n - 3)) times b^(3 - (2 - n)) times c^(1 - n - (2 - 2 n))`

`= a^(2 n - 1 - n + 3) times b^(3 - 2 + n) times c^(1 - n - 2 + 2 n)`

`= a^(n + 2) times b^(n + 1) times c^(n - 1)`