Exponent Rules Practice Test

Apply product, quotient, power, zero, negative, and fractional exponent rules accurately.

Exponent Rules Practice Test

20 focused questions covering the major laws of exponents.

About This Exponent Rules Practice Test

The laws of exponents are foundational for algebra, polynomial work, radicals, scientific notation, exponential functions, and logarithms.

The test includes products and quotients of powers, powers of products, zero and negative exponents, rational exponents, multivariable expressions, and scientific notation.

Skills Covered

You will add and subtract exponents for common bases, multiply exponents in powers of powers, distribute exponents across products and quotients, and rewrite negative or rational exponents.

How to Approach the Questions

  1. Identify whether the operation is multiplication, division, or a power of a power.
  2. Apply the rule separately to coefficients and each variable base.
  3. Rewrite negative exponents only after simplifying the exponent arithmetic.
  4. State restrictions when a denominator or zero exponent requires a nonzero base.

Common Mistakes to Avoid

Typical mistakes include multiplying exponents in a product, adding exponents in a quotient, leaving a negative exponent without taking a reciprocal, or applying an exponent to only part of a product.

Practice Format

Use this free 20-question test for classroom review, tutoring, homework support, exam preparation, or independent practice. Each response is followed by an explanation, and the test can be repeated without registration.