Question 151301
{{{(-4t^2p^4u^6)^4}}} Start with the given expression.




{{{((-4)^1t^2p^4u^6)^4}}} Rewrite {{{-4}}} as {{{(-4)^1}}}



{{{(-4)^(4(1))t^(4(2))p^(4(4))u^(6(4))}}} Distribute the outer exponent to the inner exponents



{{{(-4)^4t^8p^16u^24}}} Multiply the exponents.



{{{256t^8p^16u^24}}} Raise -4 to the 4th power to get 256



So {{{(-4t^2p^4u^6)^4=256t^8p^16u^24}}}.