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Đáp án+Giải thích các bước giải:

`(-3/5)^x=-27/125`
`(-3/5)^x=(-3/5)^3`
`x=3`
Vậy `x=3`$\\$

`---`

`(x+1)^2=1/49`
`(x+1)^2=(1/7)^2=(-1/7)^2`
`=>`\(\left[ \begin{array}{l}x+1=\frac{1}{7}\\x+1=\frac{-1}{7}\end{array} \right.\) `=>`\(\left[ \begin{array}{l}x=\frac{1}{7}-1\\x=\frac{-1}{7}-1\end{array} \right.\) `=>`\(\left[ \begin{array}{l}x=\frac{1}{7}-\frac{7}{7}\\x=\frac{-1}{7}-\frac{7}{7}\end{array} \right.\) `=>`\(\left[ \begin{array}{l}x=\frac{-6}{7}\\x=\frac{-8}{7}\end{array} \right.\) 
Vậy `x in{-6/7;-8/7}`$\\$

`---`

`2^[4-x]/16^3=32^4`
`2^[4-x]/(2^4)^3=(2^5)^4`
`2^[4-x]/2^12=2^20`
`2^[4-x]=2^20. 2^12`
`2^[4-x]=2^[20+12]`
`2^[4-x]=2^32`
`4-x=32`
`x=4-32`
`x=-28`
Vậy `x=-28`