Question

Use the properties of exponents to simplify the expression.

10^x+1 divide by 10^x-3

Answer 1

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.

Answer 2

Wait, I'm an idiot, lol.

Answer 3

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

Answer 4

Same thing, you just substitute the whole equation.

Answer 5

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

Answer 6

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

Answer 7

right

Answer 8

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

Answer 9

Since we don't *know* x

Answer 10

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

Answer 11

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

Answer 12

oh i didnt distribute the negative

Answer 13

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

Answer 14

Sorry, had to correct a number typo :)

Answer 15

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

Answer 16

yes... thank you

Answer 17

Awesome :)