For a non-zero integer x, (x4)^-3 is equal to
(a) x¹²
(b) x^-12
(c) x⁶⁴
(d) x^-64

Solution:

The correct option is (b)

using laws of indices, For any non-zero integer x, (x^m)ⁿ = x^mn

(x⁴)^-3 = x^-12

✦ Try This: For a non-zero integer x, (x^-5)⁴ is equal to (a) x^-20, (b) x²⁰, (c) x⁹, (d) x^-9

The correct option is (a)

using laws of indices, For any non-zero integer x, = (x^m)ⁿ = x^mn

(x^-5)⁴ = x^-20

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 22

For a non-zero integer x, (x⁴)^-3 is equal to (a) x¹², (b) x^-12, (c) x⁶⁴, (d) x^-64

Summary:

For a non-zero integer x, (x⁴)^-3 is equal to x^-12

☛ Related Questions:

• 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
• The standard form for 234000000 is (a) 2.34 × 108, (b) 0.234 × 109, (c) 2.34 × 10-8, (d) 0.234×10-9