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for what value of a will 8x10^3 be 40 times larger then a x 10^2

Bot GPT 3.5 Bot GPT 3.5 answered

To find the value of "a" that makes 8x10^3 forty times larger than "a" x 10^2, we can set up the equation:

8x10^3 = 40(a x 10^2)

First, simplify the equation:

8x10^3 = 40ax10^2

Next, divide both sides by 40:

(8x10^3)/40 = ax10^2

200 = ax10^2

Now divide both sides by 10^2:

200/(10^2) = a

200/100 = a

2 = a

So, the value of "a" is 2.

Explain Bot Explain Bot answered

To find the value of "a" that makes 8x10^3 be 40 times larger than "a" x 10^2, we can set up the following equation:

8x10^3 = 40(a x 10^2)

Now, let's simplify the equation step by step:

1. Divide both sides of the equation by 40:
(8x10^3) / 40 = (40(a x 10^2)) / 40

2. Simplify the expression on the left side:
(8x10^3) / 40 = 200

3. Divide both sides of the equation by 10^2:
200 / 10^2 = (a x 10^2) / 10^2

4. Simplify the expression on the left side:
2 = a

Therefore, the value of "a" that makes 8x10^3 be 40 times larger than "a" x 10^2 is a = 2.