Algebra 1

$-4t^{5}$
We start with the given expression: $2t(-2t^4)$ We re-arrange and regroup the expression using the commutative and associative properties of multiplication: $(2\times-2)(t^4t^1)$ We multiply the constants: $-4(t^4t^1)$ To multiply powers with the same base, we add the exponents: $-4(t^{4+1})=-4t^{5}$