Exponents with Negative Bases

Our Exponents with Negative Bases worksheet explores how negative bases interact with exponents, an important concept for 7th and 8th graders preparing for algebra.

How to Solve Integers (Negatives)

Pay close attention to whether the negative sign is inside or outside the parentheses. (-3)^2 means (-3) x (-3) = 9 (the base is -3, and two negatives multiply to a positive). But -3^2 means -(3 x 3) = -9 (only 3 is squared, then negated). Even exponents on negative bases give positive results; odd exponents give negative results.

You can view the preview of this worksheet below, or download the full high-resolution PDF along with the answer key for easy grading.