Question

If 16 raised to the power 2 X + 3 equals to 64 raised to the power X + 3 then find the value of 4 raised to the power 2 x minus 2

Answer 1

Answer:

256

Step-by-step explanation:

16^2X+3 = 64^X+3

As  16 = 4^2 and 64 = 4^3

4^2(2X+3) = 4^3(X+3)

base  are same (4 and 4 both side so powers will be same)

2(2X+3) = 3(X+3)

X = 3

so 4^2x-2 = 4^4 = 256

Answer 2

Answer:

256

Step-by-step explanation:

(4)^2(2x+3)=(4)^3(x+3)

2(2x+3)=3(x+3)

4x+6 =3x+9

4x-3x = 9-6

x=3

4^2x-2

4^2*3-2

4^6-2

4^4

256 ANSWER