Math, asked by shadowspro2543, 6 months ago

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 ItzSweetyHere
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 Anonymous
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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