By laws of exponent,(xm)n = xmnIn this question,m = -2n = 3∴ (xm)n = xmn⇒ (z-2)3 = z-2×3⇒ (z-2)3 = z-6Hence, for a non-zero rational number z, (z-2)3 is equal to z-6.

Q. 315.0( 2 Votes )

Out of the four o A. z⁶

B. z^–6

C. z¹

D. z⁴

Class 8th NCERT - Mathematics Exemplar 8. exponents and powers

Answer :

By laws of exponent,

(x^m)ⁿ = x^mn

In this question,

m = -2

n = 3

∴ (x^m)ⁿ = x^mn

⇒ (z^-2)³ = z^-2×3

⇒ (z^-2)³ = z^-6

Hence, for a non-zero rational number z, (z^-2)³ is equal to z^-6.

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Out of the four o A. z6B. z–6C. z1D. z4

Out of the four o A. z⁶

B. z^–6

C. z¹

D. z⁴