# For non-zero numbers a and b, (a/b)^{m} ÷ (a/b)^{n}, where m > n, is equal to

a. (a/b)^{mn}

b. (a/b)^{m+n}

c. (a/b)^{m-n}

d. ((a/b)^{m})^{n}

**Solution:**

Given, a and b are non-zero numbers.

(a/b)^{m} ÷ (a/b)^{n}, where m > n

We have to find the value of the expression

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

a^{m} ÷ a^{n} = a^{m-n} , m>n

Here, a = (a/b)

a^{m-n }= (a/b)^{m-n}

Therefore, (a/b)^{m} ÷ (a/b)^{n }= (a/b)^{m-n}

**✦ Try This: **For non-zero numbers x and y, (x/y)^{m} ÷ (x/y)^{n}, where m > n, is equal to a. (x/y)^{mn}b. (x/y)^{m+n}c. (x/y)^{m-n}d. ((x/y)^{m})^{n}

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 13

**NCERT Exemplar Class 7 Maths Chapter 11 Problem 20**

## For non-zero numbers a and b, (a/b)^{m} ÷ (a/b)^{n}, where m > n, is equal to: a. (a/b)^{mn }b. (a/b)^{m+n }c. (a/b)^{m-n }d. ((a/b)^{m})^{n}

**Summary:**

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

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