For what value of a 8*10^3 be 40 times larger than a*10^2

Answer 1

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

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

First, simplify the equation:

8 * 10^3 = 40 * a * 10^2

Next, divide both sides of the equation by 40 * 10^2:

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

This simplifies to:

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

Simplifying further:

(1/5) * 10^(3-2) = a

Which can be written as:

1/5 * 10^1 = a

Finally, we get:

a = 2

Therefore, for the value of 8 * 10^3 to be 40 times larger than a * 10^2, a must equal 2.