tku 4 years ago Use the properties of exponents to simplify the expression. 10^x+1 divide by 10^x-3

1. BlackholeMind

The divisional property of exponents is that when you divide by an exponent (when the base is equal) that you subtract the exponent being divided.

2. BlackholeMind

Wait, I'm an idiot, lol.

3. tku

yeah i get that but i am not sure what to do when it is a equation

4. BlackholeMind

Same thing, you just substitute the whole equation.

5. BlackholeMind

If x = 1, what you would have is 10^2 / 10^-2, right?

6. BlackholeMind

Then you would have 10^2-(-2)

7. tku

right

8. BlackholeMind

Since we don't x, we leave it there.

9. BlackholeMind

Since we don't *know* x

10. BlackholeMind

So if it was 10^A / 10^B, we did 10^A-B

11. BlackholeMind

But A was "X + 1" and B was "X - 3"

12. tku

oh i didnt distribute the negative

13. BlackholeMind

So we have 10^x+1 / 10^x-3, becomes 10^(x+1)-(x-3), -(x-3) = -x + 3, right? So we have 10^x+1-x+3 Finally: We have 10 to all these together: x -x +1 +3 x + (-x) = 0 1 + 3 = 4 0+4 = 4 So we have 10^4

14. BlackholeMind

Sorry, had to correct a number typo :)

15. BlackholeMind

Yea, that's easy to do, haha. Everything figured out?

16. tku

yes... thank you

17. BlackholeMind

Awesome :)