Q.7 Simplify:
(i)\( (-4)^3\)
(ii)\( (-3) × (-2)^3\)
(iii)\( (-3)^2 × (-5)^2\)
(iv)\( (-2)^3 × (-10)^3\)


Answer :

(i)\( (-4)^3 = (-4) × (-4) × (-4) = -64\) [\(\therefore \)(-a)odd number = (-a)odd number]
(ii) \( (-3) × (-2)^3 = (-3) × (-2) × (-2) × (-2)\)
\(= (-3) × (-8) \)= 24 [\(\therefore \)(-a)odd number = (-a)odd number]
(iii)\( (-3)^2 × (-5)^2 = [(-3) × (-5)]^2\)
\(= 15^2 = 225 [\therefore a^m × b^m = (ab)^m] \)
(iv)\( (-2)^3 × (-10)^3 = [(-2) × (-10)]^3\)
\(= 20^2 = 8000 [\therefore a^m × b^m = (ab)^m]\)

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