If x be any integer different from zero and m, n be any integers, then (x^m)ⁿ is equal to
(a) x^{m + n}
(b) x^mn
(c) x^m/n
(d) x^{m - n}

Solution:

The correct option is (b)

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

✦ Try This: The value of (2⁵)² is (a) 2¹⁰, (b) 2²⁵, (c) 2^-10, (d) 2^-25

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

∴ (2⁵)² = 2¹⁰

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 16

If x be any integer different from zero and m, n be any integers, then (x^m)ⁿ is equal to (a) x^{m + n}, (b) x^mn, (c) x^m/n, (d) x^{m - n}

Summary:

If x be any integer different from zero and m, n be any integers, then (x^m)ⁿ is equal to x^mn

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