Question

if 1260 equal to 2a×3b×5c×7d then find the value if a+b-c+d.
ans by solving​

Answer 1

Given :

1260 = 2a ×3b ×5c ×7d

To find :

a+b-c+d

Solution :

$1260 = 2 \times 630 \\1260 = 2 \times 2 \times 315 \\ 1260 = 2 \times 2 \times 3 \times 105 \\ 1260 = 2 \times 2 \times 3 \times 3 \times 35 \\ 1260 = 2 \times 2 \times 3 \times 3 \times 5 \times 7 \\ 1260 = {2}^{2} \times {3}^{2} \times 5 \times 7 \\ 1260 = {2}^{a} \times {3}^{b} \times {5}^{c} \times {7}^{d} \\ a = 2 \\ b = 2 \\ c = 1 \\ d = 1$

$a+b-c+d \\ = 2 + 2 - 1 + 1 \\ = 2 + 2 \\ = 4$