Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Looking for an integer exponents test? Then this Grade 8 test on Laws of Integer Exponents Made Simple checks the whole chapter, with points for each question. This test has 8 questions worth 20 points in total and should take about 45 minutes. Show every step and name the rule you use. Calculators are not needed; write fractions in lowest terms.
Standards: 8.EE.A.1 · Level: Grade 8
Question 1 Evaluate powers (3 points)
Evaluate each expression. (1 point each)
- 60
- 3−4
- (−2)5
Question 2 One power (3 points)
Write each as a single power. (1 point each)
- 76 · 7−2
- 114119
- (5−2)3
Question 3 Positive exponents (2 points)
Simplify (2a−2)3 and write the result with positive exponents.
Question 4 Table of powers of 4 (3 points)
Complete the three missing values in the table. (1 point each)
Question 5 Several rules at once (3 points)
Evaluate 2−5 · 28 ÷ 2−2. Show each step.
Question 6 Dev’s work (2 points)
Dev says (32)4 = 36. Find his mistake and give the correct value.
Question 7 Views multiply (2 points)
On day 3, a skate video had 103 views. On day 7 it had 107 views. How many times as many views did it have on day 7? Write a power of 10 and the number.
Question 8 Reading a picture (2 points)
Each box shows 22. Write the picture as a power of a power, then as a single power and evaluate it.

