Final answer:
The exact value of x is 3.2.
Step-by-step explanation:
To find the exact value of x in the equation 5⋅2¹⁵x = 16, we need to isolate x. We can do this by dividing both sides of the equation by 5⋅2¹⁵, giving us:
x = 16 / (5⋅2¹⁵)
Now, let's simplify the expression:
Divide 16 by 5, which gives us 3.2.
Divide 2¹⁵ by 2¹⁵, which equals 1 since any number divided by itself is 1.
Therefore, the exact value of x is 3.2.