Question

Can someone tell me why the 2nd step of this is true? I don't understand how the denominator goes from 5^n to 5^k * 5^(n-k)....

Answer 1

Because when you multiply exponentials, you add the exponents and k + n-k=n

Answer 2

I'm sorry I don't quite follow. What is 5^n being multiplied by then? How does the other stuff get to the denominator? Isn't the only multiplication going on up top?

Answer 3

Ooooooooh I get it!

Answer 4

What does this equal:
\[5^k \times 5^{n-k}\]

Answer 5

Its literally jut what you said. Another way of writing n.

Answer 6

Yes.

Answer 7

Thanks!