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

Answer 1

To find the value of "a," we can set up the following equation:

8 x 10^3 = 40(a x 10^2)

First, simplify the equation by dividing both sides by 40:

(8 x 10^3) / 40 = a x 10^2

Now, simplify further:

(8 x 10^3) / (10^2) = a

To divide powers of 10, we subtract the exponents:

(8 x 10^3) / (10^2) = 8 x (10^3 - 2) = 8 x 10^1 = 80

So, when a = 80, 8 x 10^3 is 40 times larger than a x 10^2.