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Question

Write the proper numbers in the boxes.

(1) 5×82=5 ×8
(2) 37×793=37 ×79
(3) -23×-5114=-23 ×-511
(4) xy10=x ×y
(5) pq4=p ×q

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Solution

(1) 5×82=5 ×8
Consider (5 × 8)2
=52×82 a×bm=am×bm

(2) 37×793=37 ×79
Consider 37×793
=373×793 a×bm=am×bm

(3) -23×-5114=-23 ×-511
Consider -23×-5114
=-234×-5114 a×bm=am×bm

(4) xy10=x ×y
Consider (xy)10
=x10×y10 a×bm=am×bm

(5) pq4=p ×q
Consider (pq)4
=p4×q4 a×bm=am×bm

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