Question

Simplify this expression

(x^-4)^-5(x^-4)^2/(x^3)^7

Answer 1

well when a exponent with a power is put to another power, the exponents multiply

Answer 2

so it becomes
\[\frac{ x ^{-4\times-5}x ^{-4\times2} }{ x ^{3\times7} }\]

Answer 3

then that becomes
\[\frac{ x ^{20}x ^{-8} }{ x ^{21} }\]

Answer 4

then now variables that have exponents and are the same variable, the exponents are added so it becomes
\[\frac{ x ^{12} }{ x ^{21} }\]

Answer 5

when divided, the expononets are subtracted
\[x^{-9}\]

Answer 6

x^-9 since that in almost unreadable

Answer 7

if you want it as a positive exponent the number has to be inverted to it becomes
1/x^9