If 2x+3y=11, what is the value of 4^(x)8^(y)
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Answer:
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Step-by-step explanation:
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Answered by
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Answer:
Option B
Step-by-step explanation:
Given :-
2x+3y = 11
To find :-
Find the value of 4^x 8^y ?
Solution :-
Given that
2x+3y = 11 -------------(1)
Now,
4^x 8^y can be written as
=> (2^2)^x × (2^3)^y
=> 2^(2x) × 2^(3y)
Since (a^m)^n = a^(mn)
=> 2^(2x+3y)
It is in the form of a^m × a^n
Where, a = 2 , m = 2x and n = 3y
We know that
a^m × a^n = a^(m+n)
=> 2^11 (from (1))
Answer:-
The value of 4^x 8^y for the given problem is 2^11
Used formulae:-
- (a^m)^n = a^(mn)
- a^m × a^n = a^(m+n)
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