For a non-zero rational number x, x8 ÷ x2 is equal to
a. x4
b. x6
c. x10
d. x16

Solution:

Given

x8 ÷ x2

If a is a rational number and if m and n are natural numbers where m > n

am ÷ an = am - n

So we can write it as

x8 ÷ x2 = x8 - 2

= x6

Therefore, x8 ÷ x2 is equal to x6.

✦ Try This: For a non-zero rational number x, x5 ÷ x3 is equal to a. x2, b. x6, c. x10, d. x16

Given

x5 ÷ x3

If a is a rational number and if m and n are natural numbers where m > n

am ÷ an = am - n

So we can write it as

x5 ÷ x3 = x5 - 3

= x2

Therefore, x5 ÷ x3 is equal to x2.

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

NCERT Exemplar Class 7 Maths Chapter 11 Problem 2

For a non-zero rational number x, x8 ÷ x2 is equal to a. x4, b. x6, c. x10, d. x16

Summary:

For a non-zero rational number x, x8 ÷ x2 is equal to x6

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