Back to Know and apply the properties of integer exponents — Problem 4 · Task Set 6

8.EE.A.1 Tutor Intake -- Properties of Integer Exponents

This short check helps your tutor see where to start. Work each problem on
your own, without a calculator. If you are not sure, give your best try —
every answer helps your tutor plan your first few sessions.

Grade 8·12 problems·~12 min·Common Core Math - Grade 8·container·8-ee-a-1
Work through problems with immediate feedback
A

Concepts

1

Continuing the pattern 22=42^2 = 4, 21=22^1 = 2, 20=12^0 = 1 by dividing
by 2 at each step gives 2−1=1/22^{-1} = 1/2 and 2−2=1/42^{-2} = 1/4. Based on
this pattern, is 2−32^{-3} positive or negative, and what is its
value?