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If 3x−y=12, what is the value of 8^x/2^y?
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✪ Question ✪
If 3x−y = 12, what is the value of 8^x/2^y?
✪ Given ✪
3x-y = 12
✪ To find ✪
The value of 8^x/2^y.
✪ Formula to be used ✪
a^b/a^c = a^(b-c)
✪ Solution ✪
3x-y = 12
↝3x = 12+y
We have to find 8^x/2^y.
In 8^x, we can take 8 as 2^3.
So, 8^x can be written as 2^(3×x) = 2^3x.
As, 3x = 12+y,
2^3x = 2^(12+y)
According to condition,
8^x/2^y
↝2^(12+y)/2^y
↝2^(12+y-y)
↝2^12
✪ Hence ✪
8^x/2^y = 2^12
✪ Therefore ✪
The value of 8^x/2^y is 2^12.
๑ Hope this helps you. ๑
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