Question

solve exactly: 5^(x+4) = 1/125
x= ?

Answer 1

1/125 is the same as 5^(-3)

Answer 2

So x + 4 = -3

Answer 3

Solve for x.

Answer 4

x=-7

Answer 5

That's right.

Answer 6

Do you see why 1/125 = 5^(-3)

Answer 7

isnt that the same as 5^1/3

Answer 8

No, fractional exponents gets into taking roots.

Answer 9

A negative exponent means that you take 1/

So if you have x^(-n) that equals 1/x^n

\[x^{-n} = \frac{1}{x^n}\]

Answer 10

\[\frac{1}{125} = \frac{1}{5^3} = 5^{-3}\]

Answer 11

that is right thank you

Answer 12

You're welcome.