Simplify and express the result in power notation with positive exponent.
(i) ( 3-7 ÷ 3-10 ) x 3-5
(ii) 2-3 x (-7)-3
(i) (3−7 ÷ 3−10) × 3−5
= (3−7 − (−10)) × 3−5 (am ÷ an = am − n)
= 33 × 3−5
= 33 + (− 5) (am × an = am + n)
= 3−2
= 1/32 ( a-m = 1/am )
(ii) 2−3 × (−7)−3 = 1/23 x 1/(-7)3
= 1/[ 2 x (-7) ]3 ( a-m = 1/am )
= 1/(-14)3 [ am x bm= (ab)m ]
