1
Question
Simplify:
(1) 728 *715*1/713
(2) (1/3)4*(-27/4)2*(-8/3)2
Simplify:
(1) 728 *715*1/713
(2) (1/3)4*(-27/4)2*(-8/3)2
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Solution
(1) 728 *715*1/713
= 728 *715*7-13
= 7(28+15-13) [when the bases are equal, the powers are added under a base]
= 7(43-13)
= 730 Ans.
(2) (1/3)4*(-27/4)2*(-8/3)2
= [(1/3)2]2*(-27/4)2*(-8/3)2
= (1/9)2*(-27/4)2*(-8/3)2
= {(1/9)*(-27/4)*(-8/3)}2 }[ when the powers are equal, all bases are multiplied under a power ]
= (1/9* 27/4*8/3)2
= (3/4*8/3)2
= (2)2 = 4 Ans.
(1) 728 *715*1/713
= 728 *715*7-13
= 7(28+15-13) [when the bases are equal, the powers are added under a base]
= 7(43-13)
= 730 Ans.
(2) (1/3)4*(-27/4)2*(-8/3)2
= [(1/3)2]2*(-27/4)2*(-8/3)2
= (1/9)2*(-27/4)2*(-8/3)2
= {(1/9)*(-27/4)*(-8/3)}2 }[ when the powers are equal, all bases are multiplied under a power ]
= (1/9* 27/4*8/3)2
= (3/4*8/3)2
= (2)2 = 4 Ans.
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