you get 50 points for answering this cause it hard :))
If 3x−y=12, what is the value of
8^x/2^y?
Answers
Answered by
3
Answer:
Hey buddy!!
Step-by-step explanation:
Here's what you want:)
Given, 3x-y= 12
By the laws if exponents,
abac=ab−c
And
abc=ab∗c
8=23
So,
8x2y=23x2y
=23x−y
Since 3x-y = 12,
The answer is
212
Thanks!
Answered by
3
✪ 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
✪ Exponent law ✪
p^q/p^r = p^(q-r)
✪ Solution ✪
3x-y = 12
↝3x = 12+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)
So,
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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