Here we have, 5 3 + 8 3 As 3 is common in both, so we take it as common and then add accordingly. 5 3 + 8 3 = ( 5 + 8 ) 3 = 13 3 Hence, 5 3 + 8 3 = 13 3

Simplify. 9 5 – 4 5 + 125

Here we have 9 5 – 4 5 + 125 9 5 – 4 5 + 125 = 9 5 – 4 5 + 5 × 5 × 5 = 9 5 – 4 5 + 5 5 We take 5 as common from all, we get = ( 9 – 4 + 5 ) 5 = 10 5 Hence, 9 5 – 4 5 + 125 = 10 5

Simplify. 7 48 – 27 – 3

Here we have 7 48 – 27 – 3 7 48 – 27 – 3 = 7 ( 2 × 2 × 2 × 2 × 3 ) – ( 3 × 3 × 3 ) – 3 = 7 × 4 3 – 3 3 – 3 = 28 3 – 3 3 – 3 and we have taken 3 as common = ( 28 – 3 – 1 ) 3 = 24 3

Simplify. 7 - 3 5 7 + 2 7

Here we have, 7 - 3 5 7 + 2 7 7 - 3 5 7 + 2 7 = 1 - 3 5 + 2 7 We take 7 as common, = 5 - 3 + 10 5 7 = 12 5 7

Multiply and write the answer in the simplest form. 3 12 × 7 15

Here we have 3 12 × 7 15 = 3 ( 2 × 2 × 3 ) × 7 ( 3 × 5 ) = 3 × 2 3 × 7 ( 3 × 5 ) = 3 × 2 × 7 ( 3 × 3 × 5 ) = 42 × 3 5 = 126 5 Hence the product of 3 12 × 7 15 is 126 5 .