SOLUTION: Write 4^20 x 5^42 in scientific notation

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Question 939580: Write 4^20 x 5^42 in scientific notation
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
log%28%284%5E20+%2A+5%5E42%29%29

log%28%284%5E20%29%29%2Blog%28%285%5E42%29%29

20%2Alog%28%284%29%29%2B42%2Alog%28%285%29%29

20%280.60206%29%2B42%2A%280.6990%29

12.0412%2B29.358

53.44

Now want antilog of 53.44.
What is 10%5E%2853.44%29?

2.757%2A10%5E53
but only ONE significant figure is allowed because the two factors originally each were only one significant figure..
highlight%283%2A10%5E53%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Write 4^20 x 5^42 in scientific notation
==========
= 2^40*5^40*5^2
= 10^40*25
= 2.5*10^41