Question

How do you evaluate `2.3^ { x } - 2.3^ { x + 1}`?

Answer 1

`-1.3 * 2.3^x`

Explanation:

We want things to be the same power, so that +1 is pretty pesky.

But we know that
`2.3^(x+1) = 2.3^x * 2.3^1`
so we can drop that and then we have common exponents and can algebraically manipulate!

`2.3^x - 2.3^(x+1) = 2.3^x - 2.3 * 2.3^x`

`= (1 - 2.3) * 2.3^x = -1.3 * 2.3^x`

which is our final answer.