Question

Solve the following equation for x.

Answer 1

\[(3x + 5)^{-4}=64\]

Answer 2

So:

\[3x + 5 = \pm { \sqrt[-4]{64} } \]

Answer 3

first try using

x^(-1) = 1/x

Answer 4

this above wrote is right for exponent positive of 4 but there is -4

Answer 5

So you get:

\[\ 3x = -5 \pm \frac{ 1 }{ \sqrt[4]{64} } \]

Answer 6

Not exactly sure this part is right: (divided each side by 3)

\[x = -\frac{5 }{ 3 } \pm \frac{ 1 }{ 3\sqrt[4]{64} }\]

Answer 7

I figured it out. It was how the book simplified the answer. Thanks all the same!