Question

Using laws of indices simplify the following. (a) 510/512 (b) 27 x 39 / 25 x 36​

Answer 1

Answer:

$510 \times 512 \\ (500 + 10)(500 + 12) \\ 500 \times 500 + 500 \times 12 + 10 \times 500 + 10 \times 12 \\ 250000 + 6000 + 5000 + 120 \\ 250000 + 11000 + 120 \\ 261000 + 120 \\ 261120$

$(27 \times 39)(25 \times 36) \\( 1053) \times (900) \\ (1000 + 53)(1000 - 100) \\ 1000 \times 1000 + 1000 \times - 100 + 53 \times 1000 + 53 \times - 10 \\ 1000000 - 100000 + 53000 - 530 \\ 1053000 - 100000 - 530 \\ 1053000 - 100530 \\ 952470$