If \(5^{(x + 2y)} = 5\) and \(4^{(x + 3y)} = 16\), find \(3^{(x + y)}\).

Oosi001

4 months ago

NO ANS

oduneyeadedayo

10 years ago

pls i nedd good ans

Chuks612

9 years ago

Here is an explanation:

5^(x+2y)=5¹

Taking away the bases.

X+2y=1.....equ¹

4^(x+3y)=16

4^(X+3y)=4²

Taking away the bases.

X+3y=2......equ²

Subtracting ² from ¹

Y=1

Substituting for y=1 in equ²

X+3(1)=2

X+3=2

X=2-3

X=-1

Having gotten x and y,sub for x and y in 3^(x+y)

3^(-1+1)

3^0= 1

Reason: any number raise to the power of zero is equal to one.

bigdaddynipking

1 year ago

NO ANSWER