Verified Answer :

Summer24680

-4² : given
= - (4 4) = -16 : expand and calculate

(-2)³ : given
= (-2)(-2)*(-2) = -8 : expand and calculate

1000⁰ : given
= 1000⁰ = 1 : definition: any nonzero number to the power zero gives 1

566¹ : given
= 566¹ = 566 

(-2)⁴ : given
= (-2)³ × -2 = -8 × -2 = 16

Hope I helped! :)

TSO

A.
\(-4^2 = (-1)(4)^2 = (-1)(16) = \boxed{-16}\)

B.
\((-2)^3 = -2 \times -2 \times -2 = 4 \times -2 = \boxed{-8}\)

C.
\((-2)^4 = (-2)^3 \times -2 = -8 \times -2 = \boxed{16}\)

D.
\(1000^0 = \boxed{1}\)

E.
\(566^1 = \boxed{566}\)

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