For what value of X will 8×10^3 be 40 times larger than X×10^2?

Answer 1

To find the value of X, we can set up the equation:

8×10^3 = 40(X×10^2)

First, let's simplify the right side of the equation:

8×10^3 = 40X×10^2
8×10^3 = 40×10^2·X

Using the properties of exponents, we can rewrite the equation as:

8×10^3 = (40×10^2)×X
8×10^3 = 4000X

Now we can solve for X by dividing both sides of the equation by 4000:

(8×10^3) / 4000 = (4000X) / 4000
2 = X

Therefore, the value of X that will make 8×10^3 forty times larger than X×10^2 is X = 2.