law of exponents - ii
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powers and roots
summary
the content delves into the advanced concepts of exponents, focusing on their distribution over multiplication and division, the common mistakes learners make, and strategies for simplifying expressions involving powers.
- exponents can be distributed across multiplication and division, allowing for simplification of expressions.
- it is a common mistake to try distributing exponents over addition or subtraction, which is mathematically incorrect.
- factoring out the greatest common factor in expressions involving sums or differences of powers can simplify the expression.
- understanding the legal and illegal operations with exponents is crucial for solving gre problems effectively.
- equating exponents when the bases are the same is a key strategy in solving equations involving exponents.
chapters
00:01
distributive law of exponents
03:09
common mistakes with exponents
06:18
simplifying expressions involving powers
09:48
equating exponents with equal bases