Question

Evaluate the following exponential expressions.
A. -4²


B. (-2)³


C. (-2)⁴


D. 1000⁰


E. 566¹

Answer 1

 -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! :)

Answer 2

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.
$566^1 = \boxed{566}$