SOLUTION: If 5x+3y = 3, then what is 1024^x*64^y?

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Question 1209915: If 5x+3y = 3, then what is 1024^x*64^y?
Found 2 solutions by math_tutor2020, greenestamps:
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

I'll highlight 5x+3y = 3 in blue to indicate it's useful for a substitution step later on.

1024^x*64^y
= (2^10)^x*(2^6)^y
= 2^(10x)*2^(6y)
= 2^(10x+6y)
= 2^(2(5x+3y))
= 2^(2(3)) ...... substitution
= 2^(6)
= 64

Therefore,
1024^x*64^y = 64 when 5x+3y = 3

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


We are given 5x%2B3y=3, so...