Practice Exponent Rules in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A set of laws governing how exponents behave under multiplication, division, and raising to a power: product rule (), quotient rule (), power rule (), zero exponent ( for ), and negative exponent ().
Since and , multiplying them gives . You just add the counts. All the other rules follow the same logic of counting how many times you multiply.
Showing a random 20 of 50 problems.
Example 1
mediumSimplify .
Example 2
mediumSimplify .
Example 3
easySimplify .
Example 4
hardJustify the zero-exponent rule using the quotient rule: show for .
Example 5
mediumSimplify .
Example 6
mediumSimplify .
Example 7
easySimplify .
Example 8
challengeSimplify assuming all variables represent positive integers.
Example 9
easySimplify .
Example 10
challengeSolve for : .
Example 11
mediumSimplify .
Example 12
mediumSimplify .
Example 13
easyWrite with a positive exponent.
Example 14
mediumSimplify .
Example 15
easyEvaluate .
Example 16
easySimplify .
Example 17
hardSolve for : .
Example 18
easySimplify .
Example 19
mediumSimplify .
Example 20
mediumSimplify .