Question

if 64*625=2a*5b,find I) the value of a and b ii) 2b*5a​

Answer 1

Step-by-step explanation:

$64 \times 625 = 2^{a} \times {5}^{b} \\ {2}^{6} \times {5}^{4} = {2}^{a} \times {5}^{b} \\ a = 6 \\ b = 4$

${2}^{b} \times {5}^{a} \\ {2}^{4} \times {5}^{6} \\ = 16 \times 15625 \\ = 250000 = {5}^{2} \times 10 ^{4}$