Find the fifth power of 1 2 .

We have to find the fifth power of 1 2 . We know that, A fifth power of any number is the product obtained when the number is multiplied to itself five times. Thus, 1 2 5 = 1 2 × 1 2 × 1 2 × 1 2 × 1 2 = 1 4 × 1 4 × 1 2 = 1 16 × 1 2 = 1 32 Hence, the fifth power of 1 2 is 1 32 .

Find the fifth power of 1 2 .

We have to find the fifth power of 1 2 . We know that, A fifth power of any number is the product obtained when the number is multiplied to itself five times. Thus, 1 2 5 = 1 2 × 1 2 × 1 2 × 1 2 × 1 2 = 1 4 × 1 4 × 1 2 = 1 16 × 1 2 = 1 32 Hence, the fifth power of 1 2 is 1 32 .

Simplify: 2 3 3 × 3 4 2

Given expression is 2 3 3 × 3 4 2 . We need to simplify the given expression. Now, 2 3 3 × 3 4 2 = 2 3 3 3 × 3 2 4 2 ∴ a b n = a n b n = 2 3 3 3 × 3 2 2 2 2 ∴ a m n = a m n = 2 3 3 3 × 3 2 2 4 = 2 3 - 4 × 3 2 - 3 ∴ a m ÷ a n = a m - n = 2 - 1 × 3 - 1 = 6 - 1 ∴ a - n = 1 a n = 1 6 Hence, the required answer is 1 6 .

Simplify : - 2 5 3 × - 1 4 2

Given expression is - 2 5 3 × - 1 4 2 . We need to simplify the given expression. Now, - 2 5 3 × - 1 4 2 = - 2 3 5 3 × - 1 2 4 2 = - 8 125 × 1 16 = - 1 125 × 1 2 = - 1 250 Hence, the required answer is - 1 250 .