For a non-zero integer x, x⁷ ÷ x¹² is equal to
(a) x⁵
(b) x¹⁹
(c) x^-5
(d) x^-19

Solution:

The correct option is (c)

Given, x⁷ ÷ x¹²

Using the laws of indices (am/an) = am - n

∴ x⁷ ÷ x¹² = x^{7 - 12} = x^-5

✦ Try This: For a non-zero integer p, p²⁵ ÷ p¹⁴ is equal to (a) p³⁹, (b) p¹¹, (c) p^-11, (d) p¹⁹

The correct option is (b)

Given, p²⁵ ÷ p¹⁴

Using the laws of indices (a^m/aⁿ) = a^{m - n}

∴ p²⁵ ÷ p¹⁴ = p^{25 - 14}= p¹¹

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Problem 21

For a non-zero integer x, x⁷ ÷ x¹² is equal to (a) x⁵, (b) x¹⁹, (c) x^-5, (d) x^-19

Summary:

For a non-zero integer x, x⁷ ÷ x¹² is equal to x^-5

☛ Related Questions:

• For a non-zero integer x, (x4)-3 is equal to (a) x12, (b) x-12, (c) x64, (d) x-64
• The value of (7-1 - 8-1)-1 - (3-1 - 4-1)-1 is (a) 44, (b) 56, (c) 68, (d) 12
• The standard form for 0.000064 is (a) 64 × 104, (b) 64 × 10-4, (c) 6.4 × 105, (d) 6.4 × 10-5