Q21 of 196 Page 249

Out of the four options, only one is correct. Write the correct answer.

For a non-zero integer x, x7 ÷ x12 is equal to

By laws of exponent,


xm ÷ xn = xm-n


In this question,


m = 7


n = 12


∴xm ÷ xn = xm-n


⇒ x7 ÷ x12 = x7-12


⇒ x7 ÷ x12 = x-5


Hence, for a non-zero integer x, x7 ÷ x12 is equal to x-5.

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