Simplify Variable Expressions With Negative Exponents

Begin with Evaluate Zero and Negative Exponents so students see values as fractions. Then move to rewriting and variable expressions, and use the one eighth path as a check.

Simplify variable expressions like a⁻³ × a⁵ and (a⁻²b)⁻³ so every exponent is positive. A factor with a negative exponent can be written as its reciprocal with a positive exponent, which moves it across the fraction bar. The directions on the page read: Simplify each expression. Write your answer using only positive exponents. Assume no variable equals zero. An answer key is included.

Yes, both. We made it for 8th grade exponents, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

Rewrite it as the reciprocal of the positive power, then evaluate. For example, 4⁻² = 1/4² = 1/16. Answers on Evaluate Zero and Negative Exponents are written as integers or fractions in simplest form.

No. A negative exponent makes a reciprocal, not a negative number, so 4⁻² is 1/16, not −16. The sign of the value depends on the base, so (−2)⁻³ is −1/8.

Use the exponent rules to combine powers, then move any factor with a negative exponent across the fraction bar so its exponent is positive. Simplify Variable Expressions With Negative Exponents asks for answers with only positive exponents.