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Integer Exponents Test – Grade 8 Math (Printable PDF)

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

Grade 8 Math Tests – Mathbot, the Math Made Easy robot coach, with free printable tests for Grade 8

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

Time: 45 minutes · 8 questions · Total: 20 points · Calculator: as allowed by your teacher

Question 2 One power (3 points)

Write each as a single power. (1 point each)

  1. 76 · 7−2
  2. 114119
  3. (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)

4³644²164¹?4⁰?4⁻¹?4⁻²1/16
Powers of 4.

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.

222222
Three boxes.

View the Integer Exponents test answer key with scoring

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