Question

If 64*625=2a*5b , find the values of a and b

Answer 1

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(i) the values of a and b.

64 × 625

= 2a × 5b

= 64

= 2a

Now see the Number 1 picture

64 = 2 × 2 × 2 × 2 × 2 × 2

64 = 26

∴ a = 6

Also, 625 = 5b

Now see the No.2 picture

625 = 5 × 5 × 5 × 5

625 = 54

∴ b = 4

(ii) 2b × 5a

2b × 5a

= 24 × 56

= 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5

= 16 × 15625

= 250000

$\mathcal \colorbox{yellow} {Answer by :- BrainlyBeyonder}$