Apply the product, quotient, power-of-a-power, power-of-a-product, and power-of-a-quotient rules to simplify numerical and algebraic expressions with integer exponents, including expressions in scientific notation. Interpret zero exponents as 1 for nonzero bases and negative integer exponents as reciprocals, while preserving restrictions such as nonzero denominators and excluding . Perform multiplication, division, addition, and subtraction in scientific notation by combining coefficients and powers of 10, using common powers when necessary, and renormalizing results to .
On this page:
- Master skills like “Interpret zero exponents”, “Apply the power-of-a-power rule”, and “Apply the power-of-a-product rule” with unlimited, free practice problems
- Download (or modify) free worksheets on Exponents and Scientific Notation you can use at home or in class with practice problems across all skills in this group including “Apply the power-of-a-quotient rule”, “Apply the product rule for exponents”, “Interpret negative integer exponents”.
- Start working on adaptive units like “Exponents - Multiplication and Division - Advanced” or “Exponents - Negative, Fractional, and Power Law” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Exponents and Scientific Notation: Individual Skills
Master 8 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
Practice 'Apply the power-of-a-power rule'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
Hover a skill above to start practicing.
Download/Modify Free Grade 10 'Exponents and Scientific Notation' Worksheet
Print this free 'Exponents and Scientific Notation' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Apply the power-of-a-power rule
- Apply the power-of-a-product rule
- Apply the power-of-a-quotient rule
- Apply the product rule for exponents
- Apply the quotient rule for exponents
- Interpret negative integer exponents
- Interpret zero exponents
- Perform calculations using scientific notation
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Exponents and Scientific Notation) through scaffolded problems that grow in difficulty as concepts are understood.