Question

Find the value of the expression: 0.2^6·50^7

Answer 1

50 000 000

`0.2^(6)` ×
`50^(7)`

= 6.4 ×
`10^(-5)` × 7.8125 ×
`10^(11)`

= (6.4 × 7.8125 ) ×
`10^(-5+11)` = 50 ×
`10^(6)`

= 50 000 000

Answer 2

0.2⁶ × 50⁷ = (0.2×50)⁶ × 50¹

... = 10⁶ × 50

... = 50,000,000

_____

If you do this in the straightforward way, you have ...

... = 0.000064 × 781,250,000,000 = 50,000,000