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

1 answer

We can set up the equation:

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

Simplifying both sides:

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

Dividing both sides by 40:

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

200 = a x 10^2

Dividing both sides by 10^2:

200 / 10^2 = (a x 10^2) / 10^2

2 = a

Therefore, for the value of "a" to make 8 x 10^3 be 40 times larger than "a x 10^2", "a" should be equal to 2.