Exponent Rules Math Example 2
Follow the full solution, then compare it with the other examples linked below.
Example 2
mediumSimplify .
Solution
- 1 Apply the power rule to each factor: .
- 2 Evaluate: and .
- 3 Result: .
Answer
The power of a product rule states , and the power of a power rule states . Apply both systematically to simplify expressions.
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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