Question

For non-zero numbers a and b, `(a/b)^m ÷ (a/b)^n`, where m > n, is equal to ______.

Options

• `(a/b)^(mn)`

• `(a/b)^(m+n)`

• `(a/b)^(m-n)`

• `((a/b)^m)^n`

Answer 1

For non-zero numbers a and b, `(a/b)^m ÷ (a/b)^n`, where m > n, is equal to `bb(underline((a/b)^(m-n))`.

Explanation:

We know that,

a^m ÷ aⁿ = a^m–n, (m > n)

So, `(a/b)^m ÷ (a/n)^n = (a/b)^(m-n)`