Question

Which is the simplified form of n^-6p^3

Answer 1

$Solution, n^{\left(\left(-6p\right)^3\right)}=n^{-216p^3}$

$Steps:$

$n^{\left(-6p\right)^3}$

$\left(-6p\right)^3\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd},\\\left(-6p\right)^3=-\left(6p\right)^3,\\-\left(6p\right)^3\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n,\\\left(6p\right)^3=6^3p^3,\\-6^3p^3$

$n^{-6^3p^3}$

$6^3=216,\\n^{-216p^3}$

$The\:Correct\:Answer\:Is\:n^{-216p^3}$

$Hope\:This\:Helps!!!$

$-Austint1414$