Question

? if 64x625=2a x5b; find : (i) the values of , and a
& b. (ii) 2b and 5a​

Answer 1

Answer:

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Step-by-step explanation:

i) the values of a and b.

64 × 625

= 2a × 5b

= 64

= 2a

64 = 2 × 2 × 2 × 2 × 2 × 2

64 = 26

∴  a = 6

Also, 625 = 5b

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