Exponent Rules Math Example 1
Follow the full solution, then compare it with the other examples linked below.
Example 1
easySimplify .
Solution
- 1 Combine the factors in the numerator with the product rule: .
- 2 Rewrite the expression as and apply the quotient rule for like bases.
- 3 Subtract the exponents: .
Answer
The product rule says , and the quotient rule says . These two laws handle most exponent simplifications.
About Exponent Rules
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 ().
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